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What is the Least Common Multiple of 36873 and 36891?

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 36873 and 36891 is 151142427.

LCM(36873,36891) = 151142427

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Least Common Multiple of 36873 and 36891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36873 and 36891, than apply into the LCM equation.

GCF(36873,36891) = 9
LCM(36873,36891) = ( 36873 × 36891) / 9
LCM(36873,36891) = 1360281843 / 9
LCM(36873,36891) = 151142427

Least Common Multiple (LCM) of 36873 and 36891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36873 and 36891. First we will calculate the prime factors of 36873 and 36891.

Prime Factorization of 36873

Prime factors of 36873 are 3, 17, 241. Prime factorization of 36873 in exponential form is:

36873 = 32 × 171 × 2411

Prime Factorization of 36891

Prime factors of 36891 are 3, 4099. Prime factorization of 36891 in exponential form is:

36891 = 32 × 40991

Now multiplying the highest exponent prime factors to calculate the LCM of 36873 and 36891.

LCM(36873,36891) = 32 × 171 × 2411 × 40991
LCM(36873,36891) = 151142427