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LCM for 38 and 46

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 38 and 46?

Answer

LCM of 38 and 46 is 874

(Eight hundred seventy-four)

Finding LCM for 38 and 46 using GCF of these numbers

The first method to find LCM for numbers 38 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 38 and 46 is 2, so

LCM = (38 × 46) ÷ 2

LCM = 1748 ÷ 2

LCM = 874

Finding LCM for 38 and 46 by Listing Multiples

The second method to find LCM for numbers 38 and 46 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966

So the LCM for 38 and 46 is 874

Finding LCM for 38 and 46 by Prime Factorization

Another method to find LCM for numbers 38 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 38: 2, 19 (exponent form: 21, 191)

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

21 × 191 × 231 = 874

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What is the LCM of 38 and 46?. The LCM of 38 and 46 is 874 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
38311178
3832608
38331254
3834646
38351330
3836684
38371406
383838
38391482
3840760
38411558
3842798
38431634
3844836
38451710
3846874
38471786
3848912
38491862
3850950
38511938
3852988
38532014
38541026
38552090
38561064
3857114
38581102
38592242
38601140

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 38 and 46? (The answer is: 874). Select the first number (e.g. '38') and the second number (e.g. '46'). 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

FAQ

What's the Least Common Multiple (LCM) of 38 and 46?

LCM of 38 and 46 is 874

How to find the LCM of 38 and 46 using prime factorization?

To find the LCM of 38 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 874.

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 38 and 46: LCM = 874, GCF = 2.

See Also