What is the Least Common Multiple of 99654 and 99660?

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 99654 and 99660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99654 and 99660, than apply into the LCM equation.

GCF(99654,99660) = 6
LCM(99654,99660) = ( 99654 × 99660) / 6
LCM(99654,99660) = 9931517640 / 6
LCM(99654,99660) = 1655252940

Least Common Multiple (LCM) of 99654 and 99660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99654 and 99660. First we will calculate the prime factors of 99654 and 99660.

Prime Factorization of 99654

Prime Factorization of 99660

Now multiplying the highest exponent prime factors to calculate the LCM of 99654 and 99660.

LCM(99654,99660) = 2² × 3¹ × 17¹ × 977¹ × 5¹ × 11¹ × 151¹
LCM(99654,99660) = 1655252940