What is the Least Common Multiple of 99648 and 99652?

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 99648 and 99652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99648 and 99652, than apply into the LCM equation.

GCF(99648,99652) = 4
LCM(99648,99652) = ( 99648 × 99652) / 4
LCM(99648,99652) = 9930122496 / 4
LCM(99648,99652) = 2482530624

Least Common Multiple (LCM) of 99648 and 99652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99648 and 99652. First we will calculate the prime factors of 99648 and 99652.

Prime Factorization of 99648

Prime Factorization of 99652

Now multiplying the highest exponent prime factors to calculate the LCM of 99648 and 99652.

LCM(99648,99652) = 2⁶ × 3² × 173¹ × 7¹ × 3559¹
LCM(99648,99652) = 2482530624