What is the Least Common Multiple of 87024 and 87038?

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 87024 and 87038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87024 and 87038, than apply into the LCM equation.

GCF(87024,87038) = 14
LCM(87024,87038) = ( 87024 × 87038) / 14
LCM(87024,87038) = 7574394912 / 14
LCM(87024,87038) = 541028208

Least Common Multiple (LCM) of 87024 and 87038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87024 and 87038. First we will calculate the prime factors of 87024 and 87038.

Prime Factorization of 87024

Prime Factorization of 87038

Now multiplying the highest exponent prime factors to calculate the LCM of 87024 and 87038.

LCM(87024,87038) = 2⁴ × 3¹ × 7² × 37¹ × 6217¹
LCM(87024,87038) = 541028208