What is the Least Common Multiple of 89909 and 89928?

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 89909 and 89928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89909 and 89928, than apply into the LCM equation.

GCF(89909,89928) = 1
LCM(89909,89928) = ( 89909 × 89928) / 1
LCM(89909,89928) = 8085336552 / 1
LCM(89909,89928) = 8085336552

Least Common Multiple (LCM) of 89909 and 89928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89909 and 89928. First we will calculate the prime factors of 89909 and 89928.

Prime Factorization of 89909

Prime Factorization of 89928

Now multiplying the highest exponent prime factors to calculate the LCM of 89909 and 89928.

LCM(89909,89928) = 89909¹ × 2³ × 3² × 1249¹
LCM(89909,89928) = 8085336552