What is the Least Common Multiple of 88768 and 88788?

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 88768 and 88788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88768 and 88788, than apply into the LCM equation.

GCF(88768,88788) = 4
LCM(88768,88788) = ( 88768 × 88788) / 4
LCM(88768,88788) = 7881533184 / 4
LCM(88768,88788) = 1970383296

Least Common Multiple (LCM) of 88768 and 88788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88768 and 88788. First we will calculate the prime factors of 88768 and 88788.

Prime Factorization of 88768

Prime Factorization of 88788

Now multiplying the highest exponent prime factors to calculate the LCM of 88768 and 88788.

LCM(88768,88788) = 2⁶ × 19¹ × 73¹ × 3¹ × 7² × 151¹
LCM(88768,88788) = 1970383296