What is the Least Common Multiple of 91608 and 91621?

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 91621 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 91621, than apply into the LCM equation.

GCF(91608,91621) = 1
LCM(91608,91621) = ( 91608 × 91621) / 1
LCM(91608,91621) = 8393216568 / 1
LCM(91608,91621) = 8393216568

Least Common Multiple (LCM) of 91608 and 91621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91608 and 91621. First we will calculate the prime factors of 91608 and 91621.

Prime Factorization of 91608

Prime Factorization of 91621

Now multiplying the highest exponent prime factors to calculate the LCM of 91608 and 91621.

LCM(91608,91621) = 2³ × 3¹ × 11¹ × 347¹ × 91621¹
LCM(91608,91621) = 8393216568