What is the Least Common Multiple of 89149 and 89166?

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 89149 and 89166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89149 and 89166, than apply into the LCM equation.

GCF(89149,89166) = 1
LCM(89149,89166) = ( 89149 × 89166) / 1
LCM(89149,89166) = 7949059734 / 1
LCM(89149,89166) = 7949059734

Least Common Multiple (LCM) of 89149 and 89166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89149 and 89166. First we will calculate the prime factors of 89149 and 89166.

Prime Factorization of 89149

Prime Factorization of 89166

Now multiplying the highest exponent prime factors to calculate the LCM of 89149 and 89166.

LCM(89149,89166) = 59¹ × 1511¹ × 2¹ × 3¹ × 7¹ × 11¹ × 193¹
LCM(89149,89166) = 7949059734