LCM for 60 and 735

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 735?

Answer: LCM of 60 and 735 is 2,940

(Two thousand, nine hundred forty)

Finding LCM for 60 and 735 using GCF's of these numbers

The first method to find LCM for numbers 60 and 735 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 735 is 15, so

LCM = (60 × 735) ÷ 15

LCM = 44100 ÷ 15

LCM = 2940

Finding LCM for 60 and 735 by Listing Multiples

The second method to find LCM for numbers 60 and 735 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 735: 735, 1470, 2205, 2940, 3675, 4410

So the LCM for 60 and 735 is 2940

Finding LCM for 60 and 735 by Prime Factorization

Another method to find LCM for numbers 60 and 735 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 735: 3, 5, 7, 7 (exponent form: 31, 51, 72)

22 × 31 × 51 × 72 = 2940

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What is the LCM of 60 and 735?. Find the LCM of 735 and 60 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
457352205
4673533810
4773534545
4873511760
49735735
507357350
5173512495
5273538220
5373538955
5473513230
557358085
567355880
5773513965
5873542630
5973543365
607352940
6173544835
6273545570
637352205
6473547040
657359555
6673516170
6773549245
6873549980
6973516905
707351470
7173552185
7273517640
7373553655
7473554390

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 735? (The answer is: 2940). Select the first number (e.g. '60') and the second number (e.g. '735'). 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

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FAQ

What's the Least Common Multiple (LCM) of 60 and 735?

LCM of 60 and 735 is 2,940