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What is the Least Common Multiple of 1357 and 1376?

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 1357 and 1376 is 1867232.

LCM(1357,1376) = 1867232

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Least Common Multiple of 1357 and 1376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1357 and 1376, than apply into the LCM equation.

GCF(1357,1376) = 1
LCM(1357,1376) = ( 1357 × 1376) / 1
LCM(1357,1376) = 1867232 / 1
LCM(1357,1376) = 1867232

Least Common Multiple (LCM) of 1357 and 1376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1357 and 1376. First we will calculate the prime factors of 1357 and 1376.

Prime Factorization of 1357

Prime factors of 1357 are 23, 59. Prime factorization of 1357 in exponential form is:

1357 = 231 × 591

Prime Factorization of 1376

Prime factors of 1376 are 2, 43. Prime factorization of 1376 in exponential form is:

1376 = 25 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1357 and 1376.

LCM(1357,1376) = 231 × 591 × 25 × 431
LCM(1357,1376) = 1867232