LCM for 46 and 60

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What's the Least Common Multiple (LCM) of 46 and 60?

Answer

LCM of 46 and 60 is
1,380

(One thousand three hundred eighty)

Finding LCM for 46 and 60 using GCF of these numbers

The first method to find LCM for numbers 46 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 46 and 60 is 2, so

LCM = (46 × 60) ÷ 2

LCM = 2,760 ÷ 2

LCM = 1,380

Finding LCM for 46 and 60 by Listing Multiples

The second method to find LCM for numbers 46 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1,012, 1,058, 1,104, 1,150, 1,196, 1,242, 1,288, 1,334, 1,380, 1,426, 1,472

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1,020, 1,080, 1,140, 1,200, 1,260, 1,320, 1,380, 1,440, 1,500

So the LCM for 46 and 60 is 1,380

Finding LCM for 46 and 60 by Prime Factorization

Another method to find LCM for numbers 46 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

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

22 × 231 × 31 × 51 = 1,380

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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 46 and 60? (The answer is: 1,380). Select the first number (e.g. '46') and the second number (e.g. '60'). 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
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LCM Table

Number 1Number 2LCM
46452,070
464646
46472,162
46481,104
46492,254
46501,150
46512,346
46521,196
46532,438
46541,242
46552,530
46561,288
46572,622
46581,334
46592,714
46601,380
46612,806
46621,426
46632,898
46641,472
46652,990
46661,518
46673,082
46681,564
4669138
46701,610
46713,266
46721,656
46733,358
46741,702

FAQ

What's the Least Common Multiple (LCM) of 46 and 60?

LCM of 46 and 60 is 1,380

How to find the LCM of 46 and 60 using prime factorization?

To find the LCM of 46 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,380.

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 46 and 60: LCM = 1,380, GCF = 2.

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