What is the Least Common Multiple of 87885 and 87892?

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 87885 and 87892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87885 and 87892, than apply into the LCM equation.

GCF(87885,87892) = 7
LCM(87885,87892) = ( 87885 × 87892) / 7
LCM(87885,87892) = 7724388420 / 7
LCM(87885,87892) = 1103484060

Least Common Multiple (LCM) of 87885 and 87892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87885 and 87892. First we will calculate the prime factors of 87885 and 87892.

Prime Factorization of 87885

Prime Factorization of 87892

Now multiplying the highest exponent prime factors to calculate the LCM of 87885 and 87892.

LCM(87885,87892) = 3⁴ × 5¹ × 7¹ × 31¹ × 2² × 43¹ × 73¹
LCM(87885,87892) = 1103484060