What is the Least Common Multiple of 85668 and 85688?

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 85668 and 85688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85668 and 85688, than apply into the LCM equation.

GCF(85668,85688) = 4
LCM(85668,85688) = ( 85668 × 85688) / 4
LCM(85668,85688) = 7340719584 / 4
LCM(85668,85688) = 1835179896

Least Common Multiple (LCM) of 85668 and 85688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85668 and 85688. First we will calculate the prime factors of 85668 and 85688.

Prime Factorization of 85668

Prime Factorization of 85688

Now multiplying the highest exponent prime factors to calculate the LCM of 85668 and 85688.

LCM(85668,85688) = 2³ × 3¹ × 11² × 59¹ × 10711¹
LCM(85668,85688) = 1835179896