What is the Least Common Multiple of 89356 and 89376?

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 89356 and 89376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89356 and 89376, than apply into the LCM equation.

GCF(89356,89376) = 4
LCM(89356,89376) = ( 89356 × 89376) / 4
LCM(89356,89376) = 7986281856 / 4
LCM(89356,89376) = 1996570464

Least Common Multiple (LCM) of 89356 and 89376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89356 and 89376. First we will calculate the prime factors of 89356 and 89376.

Prime Factorization of 89356

Prime Factorization of 89376

Now multiplying the highest exponent prime factors to calculate the LCM of 89356 and 89376.

LCM(89356,89376) = 2⁵ × 89¹ × 251¹ × 3¹ × 7² × 19¹
LCM(89356,89376) = 1996570464