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What is the Least Common Multiple of 36875 and 36894?

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 36875 and 36894 is 1360466250.

LCM(36875,36894) = 1360466250

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Least Common Multiple of 36875 and 36894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36875 and 36894, than apply into the LCM equation.

GCF(36875,36894) = 1
LCM(36875,36894) = ( 36875 × 36894) / 1
LCM(36875,36894) = 1360466250 / 1
LCM(36875,36894) = 1360466250

Least Common Multiple (LCM) of 36875 and 36894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36875 and 36894. First we will calculate the prime factors of 36875 and 36894.

Prime Factorization of 36875

Prime factors of 36875 are 5, 59. Prime factorization of 36875 in exponential form is:

36875 = 54 × 591

Prime Factorization of 36894

Prime factors of 36894 are 2, 3, 11, 13, 43. Prime factorization of 36894 in exponential form is:

36894 = 21 × 31 × 111 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 36875 and 36894.

LCM(36875,36894) = 54 × 591 × 21 × 31 × 111 × 131 × 431
LCM(36875,36894) = 1360466250