What is the Least Common Multiple of 91632 and 91646?

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 91632 and 91646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91632 and 91646, than apply into the LCM equation.

GCF(91632,91646) = 2
LCM(91632,91646) = ( 91632 × 91646) / 2
LCM(91632,91646) = 8397706272 / 2
LCM(91632,91646) = 4198853136

Least Common Multiple (LCM) of 91632 and 91646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91632 and 91646. First we will calculate the prime factors of 91632 and 91646.

Prime Factorization of 91632

Prime Factorization of 91646

Now multiplying the highest exponent prime factors to calculate the LCM of 91632 and 91646.

LCM(91632,91646) = 2⁴ × 3¹ × 23¹ × 83¹ × 45823¹
LCM(91632,91646) = 4198853136