What is the Least Common Multiple of 89752 and 89772?

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 89752 and 89772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89752 and 89772, than apply into the LCM equation.

GCF(89752,89772) = 4
LCM(89752,89772) = ( 89752 × 89772) / 4
LCM(89752,89772) = 8057216544 / 4
LCM(89752,89772) = 2014304136

Least Common Multiple (LCM) of 89752 and 89772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89752 and 89772. First we will calculate the prime factors of 89752 and 89772.

Prime Factorization of 89752

Prime Factorization of 89772

Now multiplying the highest exponent prime factors to calculate the LCM of 89752 and 89772.

LCM(89752,89772) = 2³ × 13¹ × 863¹ × 3¹ × 7481¹
LCM(89752,89772) = 2014304136