What is the Least Common Multiple of 99640 and 99646?

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 99646 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 99646, than apply into the LCM equation.

GCF(99640,99646) = 2
LCM(99640,99646) = ( 99640 × 99646) / 2
LCM(99640,99646) = 9928727440 / 2
LCM(99640,99646) = 4964363720

Least Common Multiple (LCM) of 99640 and 99646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99640 and 99646. First we will calculate the prime factors of 99640 and 99646.

Prime Factorization of 99640

Prime Factorization of 99646

Now multiplying the highest exponent prime factors to calculate the LCM of 99640 and 99646.

LCM(99640,99646) = 2³ × 5¹ × 47¹ × 53¹ × 49823¹
LCM(99640,99646) = 4964363720