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What is the Least Common Multiple of 1359 and 1375?

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 1359 and 1375 is 1868625.

LCM(1359,1375) = 1868625

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Least Common Multiple of 1359 and 1375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1359 and 1375, than apply into the LCM equation.

GCF(1359,1375) = 1
LCM(1359,1375) = ( 1359 × 1375) / 1
LCM(1359,1375) = 1868625 / 1
LCM(1359,1375) = 1868625

Least Common Multiple (LCM) of 1359 and 1375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1359 and 1375. First we will calculate the prime factors of 1359 and 1375.

Prime Factorization of 1359

Prime factors of 1359 are 3, 151. Prime factorization of 1359 in exponential form is:

1359 = 32 × 1511

Prime Factorization of 1375

Prime factors of 1375 are 5, 11. Prime factorization of 1375 in exponential form is:

1375 = 53 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1359 and 1375.

LCM(1359,1375) = 32 × 1511 × 53 × 111
LCM(1359,1375) = 1868625