What is the Least Common Multiple of 99636 and 99641?

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 99636 and 99641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99636 and 99641, than apply into the LCM equation.

GCF(99636,99641) = 1
LCM(99636,99641) = ( 99636 × 99641) / 1
LCM(99636,99641) = 9927830676 / 1
LCM(99636,99641) = 9927830676

Least Common Multiple (LCM) of 99636 and 99641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99636 and 99641. First we will calculate the prime factors of 99636 and 99641.

Prime Factorization of 99636

Prime Factorization of 99641

Now multiplying the highest exponent prime factors to calculate the LCM of 99636 and 99641.

LCM(99636,99641) = 2² × 3¹ × 19² × 23¹ × 37¹ × 2693¹
LCM(99636,99641) = 9927830676