LCM for 39 and 130

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What's the Least Common Multiple (LCM) of 39 and 130?

Answer

LCM of 39 and 130 is
390

(Three hundred ninety)

Finding LCM for 39 and 130 using GCF of these numbers

The first method to find LCM for numbers 39 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 39 and 130 is 13, so

LCM = (39 × 130) ÷ 13

LCM = 5,070 ÷ 13

LCM = 390

Finding LCM for 39 and 130 by Listing Multiples

The second method to find LCM for numbers 39 and 130 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468

Multiples of 130: 130, 260, 390, 520, 650

So the LCM for 39 and 130 is 390

Finding LCM for 39 and 130 by Prime Factorization

Another method to find LCM for numbers 39 and 130 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 39: 3, 13 (exponent form: 31, 131)

All Prime Factors of 130: 2, 5, 13 (exponent form: 21, 51, 131)

31 × 131 × 21 × 51 = 390

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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 39 and 130? (The answer is: 390). Select the first number (e.g. '39') and the second number (e.g. '130'). 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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LCM Table

Number 1Number 2LCM
391154,485
391164,524
39117117
391184,602
391194,641
391201,560
391214,719
391224,758
391231,599
391244,836
391254,875
391261,638
391274,953
391284,992
391291,677
39130390
391315,109
391321,716
391335,187
391345,226
391351,755
391365,304
391375,343
391381,794
391395,421
391405,460
391411,833
391425,538
39143429
391441,872

FAQ

What's the Least Common Multiple (LCM) of 39 and 130?

LCM of 39 and 130 is 390

How to find the LCM of 39 and 130 using prime factorization?

To find the LCM of 39 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 390.

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 39 and 130: LCM = 390, GCF = 13.

See Also