What is the Least Common Multiple of 87872 and 87886?

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 87886 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 87886, than apply into the LCM equation.

GCF(87872,87886) = 2
LCM(87872,87886) = ( 87872 × 87886) / 2
LCM(87872,87886) = 7722718592 / 2
LCM(87872,87886) = 3861359296

Least Common Multiple (LCM) of 87872 and 87886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87872 and 87886. First we will calculate the prime factors of 87872 and 87886.

Prime Factorization of 87872

Prime Factorization of 87886

Now multiplying the highest exponent prime factors to calculate the LCM of 87872 and 87886.

LCM(87872,87886) = 2⁶ × 1373¹ × 43943¹
LCM(87872,87886) = 3861359296