LCM for 60 and 365

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 365?

Answer

LCM of 60 and 365 is 4,380

(Four thousand, three hundred eighty)

Finding LCM for 60 and 365 using GCF of these numbers

The first method to find LCM for numbers 60 and 365 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 365 is 5, so

LCM = (60 × 365) ÷ 5

LCM = 21900 ÷ 5

LCM = 4380

Finding LCM for 60 and 365 by Listing Multiples

The second method to find LCM for numbers 60 and 365 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120, 3180, 3240, 3300, 3360, 3420, 3480, 3540, 3600, 3660, 3720, 3780, 3840, 3900, 3960, 4020, 4080, 4140, 4200, 4260, 4320, 4380, 4440, 4500

Multiples of 365: 365, 730, 1095, 1460, 1825, 2190, 2555, 2920, 3285, 3650, 4015, 4380, 4745, 5110

So the LCM for 60 and 365 is 4380

Finding LCM for 60 and 365 by Prime Factorization

Another method to find LCM for numbers 60 and 365 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 365: 5, 73 (exponent form: 51, 731)

22 × 31 × 51 × 731 = 4380

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 60 and 365? (The answer is: 4380). Select the first number (e.g. '60') and the second number (e.g. '365'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
453653285
4636516790
4736517155
4836517520
4936517885
503653650
5136518615
5236518980
5336519345
5436519710
553654015
5636520440
5736520805
5836521170
5936521535
603654380
6136522265
6236522630
6336522995
6436523360
653654745
6636524090
6736524455
6836524820
6936525185
703655110
7136525915
7236526280
73365365
7436527010

FAQ

What's the Least Common Multiple (LCM) of 60 and 365?

LCM of 60 and 365 is 4,380

How to find the LCM of 60 and 365 using prime factorization?

To find the LCM of 60 and 365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,380.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 60 and 365: LCM = 4,380, GCF = 5.

See Also