What is the Least Common Multiple of 89752 and 89768?

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 89768 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 89768, than apply into the LCM equation.

GCF(89752,89768) = 8
LCM(89752,89768) = ( 89752 × 89768) / 8
LCM(89752,89768) = 8056857536 / 8
LCM(89752,89768) = 1007107192

Least Common Multiple (LCM) of 89752 and 89768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89752 and 89768. First we will calculate the prime factors of 89752 and 89768.

Prime Factorization of 89752

Prime Factorization of 89768

Now multiplying the highest exponent prime factors to calculate the LCM of 89752 and 89768.

LCM(89752,89768) = 2³ × 13¹ × 863¹ × 7² × 229¹
LCM(89752,89768) = 1007107192