What is the Least Common Multiple of 91407 and 91416?

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 91407 and 91416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91407 and 91416, than apply into the LCM equation.

GCF(91407,91416) = 3
LCM(91407,91416) = ( 91407 × 91416) / 3
LCM(91407,91416) = 8356062312 / 3
LCM(91407,91416) = 2785354104

Least Common Multiple (LCM) of 91407 and 91416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91407 and 91416. First we will calculate the prime factors of 91407 and 91416.

Prime Factorization of 91407

Prime Factorization of 91416

Now multiplying the highest exponent prime factors to calculate the LCM of 91407 and 91416.

LCM(91407,91416) = 3¹ × 30469¹ × 2³ × 13¹ × 293¹
LCM(91407,91416) = 2785354104