What is the Least Common Multiple of 89448 and 89460?

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 89448 and 89460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89448 and 89460, than apply into the LCM equation.

GCF(89448,89460) = 12
LCM(89448,89460) = ( 89448 × 89460) / 12
LCM(89448,89460) = 8002018080 / 12
LCM(89448,89460) = 666834840

Least Common Multiple (LCM) of 89448 and 89460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89448 and 89460. First we will calculate the prime factors of 89448 and 89460.

Prime Factorization of 89448

Prime Factorization of 89460

Now multiplying the highest exponent prime factors to calculate the LCM of 89448 and 89460.

LCM(89448,89460) = 2³ × 3² × 3727¹ × 5¹ × 7¹ × 71¹
LCM(89448,89460) = 666834840