What is the Least Common Multiple of 91628 and 91640?

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 91628 and 91640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91628 and 91640, than apply into the LCM equation.

GCF(91628,91640) = 4
LCM(91628,91640) = ( 91628 × 91640) / 4
LCM(91628,91640) = 8396789920 / 4
LCM(91628,91640) = 2099197480

Least Common Multiple (LCM) of 91628 and 91640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91628 and 91640. First we will calculate the prime factors of 91628 and 91640.

Prime Factorization of 91628

Prime Factorization of 91640

Now multiplying the highest exponent prime factors to calculate the LCM of 91628 and 91640.

LCM(91628,91640) = 2³ × 22907¹ × 5¹ × 29¹ × 79¹
LCM(91628,91640) = 2099197480