What is the Least Common Multiple of 87038 and 87054?

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 of 87038 and 87054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87038 and 87054, than apply into the LCM equation.

GCF(87038,87054) = 2
LCM(87038,87054) = ( 87038 × 87054) / 2
LCM(87038,87054) = 7577006052 / 2
LCM(87038,87054) = 3788503026

Least Common Multiple (LCM) of 87038 and 87054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87038 and 87054. First we will calculate the prime factors of 87038 and 87054.

Prime Factorization of 87038

Prime Factorization of 87054

Now multiplying the highest exponent prime factors to calculate the LCM of 87038 and 87054.

LCM(87038,87054) = 2¹ × 7¹ × 6217¹ × 3¹ × 11¹ × 1319¹
LCM(87038,87054) = 3788503026