What is the Least Common Multiple of 8624 and 8638?

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 8624 and 8638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8624 and 8638, than apply into the LCM equation.

GCF(8624,8638) = 14
LCM(8624,8638) = ( 8624 × 8638) / 14
LCM(8624,8638) = 74494112 / 14
LCM(8624,8638) = 5321008

Least Common Multiple (LCM) of 8624 and 8638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8624 and 8638. First we will calculate the prime factors of 8624 and 8638.

Prime Factorization of 8624

Prime Factorization of 8638

Now multiplying the highest exponent prime factors to calculate the LCM of 8624 and 8638.

LCM(8624,8638) = 2⁴ × 7² × 11¹ × 617¹
LCM(8624,8638) = 5321008