What is the Least Common Multiple of 89949 and 89967?

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 89949 and 89967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89949 and 89967, than apply into the LCM equation.

GCF(89949,89967) = 3
LCM(89949,89967) = ( 89949 × 89967) / 3
LCM(89949,89967) = 8092441683 / 3
LCM(89949,89967) = 2697480561

Least Common Multiple (LCM) of 89949 and 89967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89949 and 89967. First we will calculate the prime factors of 89949 and 89967.

Prime Factorization of 89949

Prime Factorization of 89967

Now multiplying the highest exponent prime factors to calculate the LCM of 89949 and 89967.

LCM(89949,89967) = 3¹ × 29983¹ × 29989¹
LCM(89949,89967) = 2697480561