What is the Least Common Multiple of 88752 and 88768?

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 88752 and 88768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88752 and 88768, than apply into the LCM equation.

GCF(88752,88768) = 16
LCM(88752,88768) = ( 88752 × 88768) / 16
LCM(88752,88768) = 7878337536 / 16
LCM(88752,88768) = 492396096

Least Common Multiple (LCM) of 88752 and 88768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88752 and 88768. First we will calculate the prime factors of 88752 and 88768.

Prime Factorization of 88752

Prime Factorization of 88768

Now multiplying the highest exponent prime factors to calculate the LCM of 88752 and 88768.

LCM(88752,88768) = 2⁶ × 3¹ × 43² × 19¹ × 73¹
LCM(88752,88768) = 492396096