LCM for 60 and 370

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 370?

Answer

LCM of 60 and 370 is 2,220

(Two thousand, two hundred twenty)

Finding LCM for 60 and 370 using GCF of these numbers

The first method to find LCM for numbers 60 and 370 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 370 is 10, so

LCM = (60 × 370) ÷ 10

LCM = 22200 ÷ 10

LCM = 2220

Finding LCM for 60 and 370 by Listing Multiples

The second method to find LCM for numbers 60 and 370 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

Multiples of 370: 370, 740, 1110, 1480, 1850, 2220, 2590, 2960

So the LCM for 60 and 370 is 2220

Finding LCM for 60 and 370 by Prime Factorization

Another method to find LCM for numbers 60 and 370 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 370: 2, 5, 37 (exponent form: 21, 51, 371)

22 × 31 × 51 × 371 = 2220

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 370? (The answer is: 2220). Select the first number (e.g. '60') and the second number (e.g. '370'). 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
453703330
463708510
4737017390
483708880
4937018130
503701850
5137018870
523709620
5337019610
543709990
553704070
5637010360
5737021090
5837010730
5937021830
603702220
6137022570
6237011470
6337023310
6437011840
653704810
6637012210
6737024790
6837012580
6937025530
703702590
7137026270
7237013320
7337027010
74370370

FAQ

What's the Least Common Multiple (LCM) of 60 and 370?

LCM of 60 and 370 is 2,220

How to find the LCM of 60 and 370 using prime factorization?

To find the LCM of 60 and 370, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,220.

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 370: LCM = 2,220, GCF = 10.

See Also