What is the Least Common Multiple of 89295 and 89304?

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 89295 and 89304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89295 and 89304, than apply into the LCM equation.

GCF(89295,89304) = 3
LCM(89295,89304) = ( 89295 × 89304) / 3
LCM(89295,89304) = 7974400680 / 3
LCM(89295,89304) = 2658133560

Least Common Multiple (LCM) of 89295 and 89304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89295 and 89304. First we will calculate the prime factors of 89295 and 89304.

Prime Factorization of 89295

Prime Factorization of 89304

Now multiplying the highest exponent prime factors to calculate the LCM of 89295 and 89304.

LCM(89295,89304) = 3¹ × 5¹ × 5953¹ × 2³ × 61²
LCM(89295,89304) = 2658133560