LCM for 60 and 465

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 465?

Answer

LCM of 60 and 465 is 1,860

(One thousand, eight hundred sixty)

Finding LCM for 60 and 465 using GCF of these numbers

The first method to find LCM for numbers 60 and 465 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 465 is 15, so

LCM = (60 × 465) ÷ 15

LCM = 27900 ÷ 15

LCM = 1860

Finding LCM for 60 and 465 by Listing Multiples

The second method to find LCM for numbers 60 and 465 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

Multiples of 465: 465, 930, 1395, 1860, 2325, 2790

So the LCM for 60 and 465 is 1860

Finding LCM for 60 and 465 by Prime Factorization

Another method to find LCM for numbers 60 and 465 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 465: 3, 5, 31 (exponent form: 31, 51, 311)

22 × 31 × 51 × 311 = 1860

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 465? (The answer is: 1860). Select the first number (e.g. '60') and the second number (e.g. '465'). 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
454651395
4646521390
4746521855
484657440
4946522785
504654650
514657905
5246524180
5346524645
544658370
554655115
5646526040
574658835
5846526970
5946527435
604651860
6146528365
62465930
634659765
6446529760
654656045
6646510230
6746531155
6846531620
6946510695
704656510
7146533015
7246511160
7346533945
7446534410

FAQ

What's the Least Common Multiple (LCM) of 60 and 465?

LCM of 60 and 465 is 1,860

How to find the LCM of 60 and 465 using prime factorization?

To find the LCM of 60 and 465, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,860.

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 465: LCM = 1,860, GCF = 15.

See Also