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What is the Least Common Multiple of 37821 and 37828?

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 37821 and 37828 is 204384684.

LCM(37821,37828) = 204384684

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Least Common Multiple of 37821 and 37828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37821 and 37828, than apply into the LCM equation.

GCF(37821,37828) = 7
LCM(37821,37828) = ( 37821 × 37828) / 7
LCM(37821,37828) = 1430692788 / 7
LCM(37821,37828) = 204384684

Least Common Multiple (LCM) of 37821 and 37828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37821 and 37828. First we will calculate the prime factors of 37821 and 37828.

Prime Factorization of 37821

Prime factors of 37821 are 3, 7, 1801. Prime factorization of 37821 in exponential form is:

37821 = 31 × 71 × 18011

Prime Factorization of 37828

Prime factors of 37828 are 2, 7, 193. Prime factorization of 37828 in exponential form is:

37828 = 22 × 72 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 37821 and 37828.

LCM(37821,37828) = 31 × 72 × 18011 × 22 × 1931
LCM(37821,37828) = 204384684