What is the Least Common Multiple of 86872 and 86884?

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 86872 and 86884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86872 and 86884, than apply into the LCM equation.

GCF(86872,86884) = 4
LCM(86872,86884) = ( 86872 × 86884) / 4
LCM(86872,86884) = 7547786848 / 4
LCM(86872,86884) = 1886946712

Least Common Multiple (LCM) of 86872 and 86884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86872 and 86884. First we will calculate the prime factors of 86872 and 86884.

Prime Factorization of 86872

Prime Factorization of 86884

Now multiplying the highest exponent prime factors to calculate the LCM of 86872 and 86884.

LCM(86872,86884) = 2³ × 10859¹ × 7¹ × 29¹ × 107¹
LCM(86872,86884) = 1886946712