What is the Least Common Multiple of 88068 and 88072?

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 88068 and 88072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88068 and 88072, than apply into the LCM equation.

GCF(88068,88072) = 4
LCM(88068,88072) = ( 88068 × 88072) / 4
LCM(88068,88072) = 7756324896 / 4
LCM(88068,88072) = 1939081224

Least Common Multiple (LCM) of 88068 and 88072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88068 and 88072. First we will calculate the prime factors of 88068 and 88072.

Prime Factorization of 88068

Prime Factorization of 88072

Now multiplying the highest exponent prime factors to calculate the LCM of 88068 and 88072.

LCM(88068,88072) = 2³ × 3¹ × 41¹ × 179¹ × 101¹ × 109¹
LCM(88068,88072) = 1939081224