What is the Least Common Multiple of 91608 and 91626?

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 91608 and 91626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91608 and 91626, than apply into the LCM equation.

GCF(91608,91626) = 6
LCM(91608,91626) = ( 91608 × 91626) / 6
LCM(91608,91626) = 8393674608 / 6
LCM(91608,91626) = 1398945768

Least Common Multiple (LCM) of 91608 and 91626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91608 and 91626. First we will calculate the prime factors of 91608 and 91626.

Prime Factorization of 91608

Prime Factorization of 91626

Now multiplying the highest exponent prime factors to calculate the LCM of 91608 and 91626.

LCM(91608,91626) = 2³ × 3¹ × 11¹ × 347¹ × 15271¹
LCM(91608,91626) = 1398945768