What is the Least Common Multiple of 99640 and 99657?

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 99640 and 99657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99640 and 99657, than apply into the LCM equation.

GCF(99640,99657) = 1
LCM(99640,99657) = ( 99640 × 99657) / 1
LCM(99640,99657) = 9929823480 / 1
LCM(99640,99657) = 9929823480

Least Common Multiple (LCM) of 99640 and 99657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99640 and 99657. First we will calculate the prime factors of 99640 and 99657.

Prime Factorization of 99640

Prime Factorization of 99657

Now multiplying the highest exponent prime factors to calculate the LCM of 99640 and 99657.

LCM(99640,99657) = 2³ × 5¹ × 47¹ × 53¹ × 3³ × 3691¹
LCM(99640,99657) = 9929823480