What is the Least Common Multiple of 91416 and 91429?

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 91416 and 91429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91416 and 91429, than apply into the LCM equation.

GCF(91416,91429) = 13
LCM(91416,91429) = ( 91416 × 91429) / 13
LCM(91416,91429) = 8358073464 / 13
LCM(91416,91429) = 642928728

Least Common Multiple (LCM) of 91416 and 91429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91416 and 91429. First we will calculate the prime factors of 91416 and 91429.

Prime Factorization of 91416

Prime Factorization of 91429

Now multiplying the highest exponent prime factors to calculate the LCM of 91416 and 91429.

LCM(91416,91429) = 2³ × 3¹ × 13² × 293¹ × 541¹
LCM(91416,91429) = 642928728