LCM for 78 and 130

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 78 and 130?

Answer

LCM of 78 and 130 is
390

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

390 is divisible by both: 390 ÷ 78 = 5, 390 ÷ 130 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/78 by 5 and of y/130 by 3.

78 = 2 × 3 × 13

130 = 2 × 5 × 13

Prime78130Highest power
2222
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
781158,970
781164,524
78117234
781184,602
781199,282
781201,560
781219,438
781224,758
781233,198
781244,836
781259,750
781261,638
781279,906
781284,992
781293,354
78130390
7813110,218
781321,716
7813310,374
781345,226
781353,510
781365,304
7813710,686
781381,794
7813910,842
781405,460
781413,666
781425,538
78143858
781441,872

FAQ

What's the Least Common Multiple (LCM) of 78 and 130?

LCM of 78 and 130 is 390

How to find the LCM of 78 and 130 using prime factorization?

To find the LCM of 78 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 78 and 130: LCM = 390, GCF = 26.

See Also