What is the Least Common Multiple of 89352 and 89370?

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 89352 and 89370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89352 and 89370, than apply into the LCM equation.

GCF(89352,89370) = 18
LCM(89352,89370) = ( 89352 × 89370) / 18
LCM(89352,89370) = 7985388240 / 18
LCM(89352,89370) = 443632680

Least Common Multiple (LCM) of 89352 and 89370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89352 and 89370. First we will calculate the prime factors of 89352 and 89370.

Prime Factorization of 89352

Prime Factorization of 89370

Now multiplying the highest exponent prime factors to calculate the LCM of 89352 and 89370.

LCM(89352,89370) = 2³ × 3³ × 17¹ × 73¹ × 5¹ × 331¹
LCM(89352,89370) = 443632680