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What is the Least Common Multiple of 38676 and 38689?

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 38676 and 38689 is 1496335764.

LCM(38676,38689) = 1496335764

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Least Common Multiple of 38676 and 38689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38676 and 38689, than apply into the LCM equation.

GCF(38676,38689) = 1
LCM(38676,38689) = ( 38676 × 38689) / 1
LCM(38676,38689) = 1496335764 / 1
LCM(38676,38689) = 1496335764

Least Common Multiple (LCM) of 38676 and 38689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38676 and 38689. First we will calculate the prime factors of 38676 and 38689.

Prime Factorization of 38676

Prime factors of 38676 are 2, 3, 11, 293. Prime factorization of 38676 in exponential form is:

38676 = 22 × 31 × 111 × 2931

Prime Factorization of 38689

Prime factors of 38689 are 7, 5527. Prime factorization of 38689 in exponential form is:

38689 = 71 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 38676 and 38689.

LCM(38676,38689) = 22 × 31 × 111 × 2931 × 71 × 55271
LCM(38676,38689) = 1496335764