What is the Least Common Multiple of 99624 and 99638?

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 99624 and 99638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99624 and 99638, than apply into the LCM equation.

GCF(99624,99638) = 14
LCM(99624,99638) = ( 99624 × 99638) / 14
LCM(99624,99638) = 9926336112 / 14
LCM(99624,99638) = 709024008

Least Common Multiple (LCM) of 99624 and 99638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99624 and 99638. First we will calculate the prime factors of 99624 and 99638.

Prime Factorization of 99624

Prime Factorization of 99638

Now multiplying the highest exponent prime factors to calculate the LCM of 99624 and 99638.

LCM(99624,99638) = 2³ × 3¹ × 7¹ × 593¹ × 11¹ × 647¹
LCM(99624,99638) = 709024008