What is the Least Common Multiple of 89346 and 89352?

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 89346 and 89352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89346 and 89352, than apply into the LCM equation.

GCF(89346,89352) = 6
LCM(89346,89352) = ( 89346 × 89352) / 6
LCM(89346,89352) = 7983243792 / 6
LCM(89346,89352) = 1330540632

Least Common Multiple (LCM) of 89346 and 89352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89346 and 89352. First we will calculate the prime factors of 89346 and 89352.

Prime Factorization of 89346

Prime Factorization of 89352

Now multiplying the highest exponent prime factors to calculate the LCM of 89346 and 89352.

LCM(89346,89352) = 2³ × 3² × 14891¹ × 17¹ × 73¹
LCM(89346,89352) = 1330540632