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What is the Least Common Multiple of 36925 and 36937?

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 36925 and 36937 is 1363898725.

LCM(36925,36937) = 1363898725

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Least Common Multiple of 36925 and 36937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36925 and 36937, than apply into the LCM equation.

GCF(36925,36937) = 1
LCM(36925,36937) = ( 36925 × 36937) / 1
LCM(36925,36937) = 1363898725 / 1
LCM(36925,36937) = 1363898725

Least Common Multiple (LCM) of 36925 and 36937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36925 and 36937. First we will calculate the prime factors of 36925 and 36937.

Prime Factorization of 36925

Prime factors of 36925 are 5, 7, 211. Prime factorization of 36925 in exponential form is:

36925 = 52 × 71 × 2111

Prime Factorization of 36937

Prime factors of 36937 are 43, 859. Prime factorization of 36937 in exponential form is:

36937 = 431 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 36925 and 36937.

LCM(36925,36937) = 52 × 71 × 2111 × 431 × 8591
LCM(36925,36937) = 1363898725