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

First common multiples: 390; 780; 1,170; …

390 is divisible by both: 390 ÷ 39 = 10, 390 ÷ 130 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/39 by 10 and of y/130 by 3.

39 = 3 × 13

130 = 2 × 5 × 13

Prime39130Highest power
2—22
33—3
5—55
13131313

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3 × 5 × 13 = 390

More with these numbers

See Also

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