What is the Least Common Multiple of 87872 and 87885?

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 87872 and 87885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87872 and 87885, than apply into the LCM equation.

GCF(87872,87885) = 1
LCM(87872,87885) = ( 87872 × 87885) / 1
LCM(87872,87885) = 7722630720 / 1
LCM(87872,87885) = 7722630720

Least Common Multiple (LCM) of 87872 and 87885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87872 and 87885. First we will calculate the prime factors of 87872 and 87885.

Prime Factorization of 87872

Prime Factorization of 87885

Now multiplying the highest exponent prime factors to calculate the LCM of 87872 and 87885.

LCM(87872,87885) = 2⁶ × 1373¹ × 3⁴ × 5¹ × 7¹ × 31¹
LCM(87872,87885) = 7722630720