What is the Least Common Multiple of 87100 and 87112?

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 87100 and 87112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87100 and 87112, than apply into the LCM equation.

GCF(87100,87112) = 4
LCM(87100,87112) = ( 87100 × 87112) / 4
LCM(87100,87112) = 7587455200 / 4
LCM(87100,87112) = 1896863800

Least Common Multiple (LCM) of 87100 and 87112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87100 and 87112. First we will calculate the prime factors of 87100 and 87112.

Prime Factorization of 87100

Prime Factorization of 87112

Now multiplying the highest exponent prime factors to calculate the LCM of 87100 and 87112.

LCM(87100,87112) = 2³ × 5² × 13¹ × 67¹ × 10889¹
LCM(87100,87112) = 1896863800