What is the Least Common Multiple of 91416 and 91434?

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 91434 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 91434, than apply into the LCM equation.

GCF(91416,91434) = 6
LCM(91416,91434) = ( 91416 × 91434) / 6
LCM(91416,91434) = 8358530544 / 6
LCM(91416,91434) = 1393088424

Least Common Multiple (LCM) of 91416 and 91434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91416 and 91434. First we will calculate the prime factors of 91416 and 91434.

Prime Factorization of 91416

Prime Factorization of 91434

Now multiplying the highest exponent prime factors to calculate the LCM of 91416 and 91434.

LCM(91416,91434) = 2³ × 3¹ × 13¹ × 293¹ × 7² × 311¹
LCM(91416,91434) = 1393088424