What is the Least Common Multiple of 89052 and 89056?

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 89052 and 89056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89052 and 89056, than apply into the LCM equation.

GCF(89052,89056) = 4
LCM(89052,89056) = ( 89052 × 89056) / 4
LCM(89052,89056) = 7930614912 / 4
LCM(89052,89056) = 1982653728

Least Common Multiple (LCM) of 89052 and 89056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89052 and 89056. First we will calculate the prime factors of 89052 and 89056.

Prime Factorization of 89052

Prime Factorization of 89056

Now multiplying the highest exponent prime factors to calculate the LCM of 89052 and 89056.

LCM(89052,89056) = 2⁵ × 3¹ × 41¹ × 181¹ × 11² × 23¹
LCM(89052,89056) = 1982653728