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What is the Least Common Multiple of 1360 and 1368?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1360 and 1368 is 232560.

LCM(1360,1368) = 232560

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Least Common Multiple of 1360 and 1368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1360 and 1368, than apply into the LCM equation.

GCF(1360,1368) = 8
LCM(1360,1368) = ( 1360 × 1368) / 8
LCM(1360,1368) = 1860480 / 8
LCM(1360,1368) = 232560

Least Common Multiple (LCM) of 1360 and 1368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1360 and 1368. First we will calculate the prime factors of 1360 and 1368.

Prime Factorization of 1360

Prime factors of 1360 are 2, 5, 17. Prime factorization of 1360 in exponential form is:

1360 = 24 × 51 × 171

Prime Factorization of 1368

Prime factors of 1368 are 2, 3, 19. Prime factorization of 1368 in exponential form is:

1368 = 23 × 32 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1360 and 1368.

LCM(1360,1368) = 24 × 51 × 171 × 32 × 191
LCM(1360,1368) = 232560