What is the Least Common Multiple of 89550 and 89568?

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 89550 and 89568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89550 and 89568, than apply into the LCM equation.

GCF(89550,89568) = 18
LCM(89550,89568) = ( 89550 × 89568) / 18
LCM(89550,89568) = 8020814400 / 18
LCM(89550,89568) = 445600800

Least Common Multiple (LCM) of 89550 and 89568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89550 and 89568. First we will calculate the prime factors of 89550 and 89568.

Prime Factorization of 89550

Prime Factorization of 89568

Now multiplying the highest exponent prime factors to calculate the LCM of 89550 and 89568.

LCM(89550,89568) = 2⁵ × 3² × 5² × 199¹ × 311¹
LCM(89550,89568) = 445600800