What is the Least Common Multiple of 89151 and 89169?

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 89151 and 89169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89151 and 89169, than apply into the LCM equation.

GCF(89151,89169) = 3
LCM(89151,89169) = ( 89151 × 89169) / 3
LCM(89151,89169) = 7949505519 / 3
LCM(89151,89169) = 2649835173

Least Common Multiple (LCM) of 89151 and 89169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89151 and 89169. First we will calculate the prime factors of 89151 and 89169.

Prime Factorization of 89151

Prime Factorization of 89169

Now multiplying the highest exponent prime factors to calculate the LCM of 89151 and 89169.

LCM(89151,89169) = 3¹ × 29717¹ × 29723¹
LCM(89151,89169) = 2649835173