What is the Least Common Multiple of 87112 and 87124?

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 87112 and 87124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87112 and 87124, than apply into the LCM equation.

GCF(87112,87124) = 4
LCM(87112,87124) = ( 87112 × 87124) / 4
LCM(87112,87124) = 7589545888 / 4
LCM(87112,87124) = 1897386472

Least Common Multiple (LCM) of 87112 and 87124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87112 and 87124. First we will calculate the prime factors of 87112 and 87124.

Prime Factorization of 87112

Prime Factorization of 87124

Now multiplying the highest exponent prime factors to calculate the LCM of 87112 and 87124.

LCM(87112,87124) = 2³ × 10889¹ × 23¹ × 947¹
LCM(87112,87124) = 1897386472