What is the Least Common Multiple of 87604 and 87624?

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 87604 and 87624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87604 and 87624, than apply into the LCM equation.

GCF(87604,87624) = 4
LCM(87604,87624) = ( 87604 × 87624) / 4
LCM(87604,87624) = 7676212896 / 4
LCM(87604,87624) = 1919053224

Least Common Multiple (LCM) of 87604 and 87624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87604 and 87624. First we will calculate the prime factors of 87604 and 87624.

Prime Factorization of 87604

Prime Factorization of 87624

Now multiplying the highest exponent prime factors to calculate the LCM of 87604 and 87624.

LCM(87604,87624) = 2³ × 11² × 181¹ × 3² × 1217¹
LCM(87604,87624) = 1919053224