What is the Least Common Multiple of 89420 and 89428?

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 89420 and 89428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89420 and 89428, than apply into the LCM equation.

GCF(89420,89428) = 4
LCM(89420,89428) = ( 89420 × 89428) / 4
LCM(89420,89428) = 7996651760 / 4
LCM(89420,89428) = 1999162940

Least Common Multiple (LCM) of 89420 and 89428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89420 and 89428. First we will calculate the prime factors of 89420 and 89428.

Prime Factorization of 89420

Prime Factorization of 89428

Now multiplying the highest exponent prime factors to calculate the LCM of 89420 and 89428.

LCM(89420,89428) = 2² × 5¹ × 17¹ × 263¹ × 79¹ × 283¹
LCM(89420,89428) = 1999162940