What is the Least Common Multiple of 89516 and 89524?

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 89516 and 89524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89516 and 89524, than apply into the LCM equation.

GCF(89516,89524) = 4
LCM(89516,89524) = ( 89516 × 89524) / 4
LCM(89516,89524) = 8013830384 / 4
LCM(89516,89524) = 2003457596

Least Common Multiple (LCM) of 89516 and 89524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89516 and 89524. First we will calculate the prime factors of 89516 and 89524.

Prime Factorization of 89516

Prime Factorization of 89524

Now multiplying the highest exponent prime factors to calculate the LCM of 89516 and 89524.

LCM(89516,89524) = 2² × 7¹ × 23¹ × 139¹ × 22381¹
LCM(89516,89524) = 2003457596