What is the Least Common Multiple of 8624 and 8633?

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 8633 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 8633, than apply into the LCM equation.

GCF(8624,8633) = 1
LCM(8624,8633) = ( 8624 × 8633) / 1
LCM(8624,8633) = 74450992 / 1
LCM(8624,8633) = 74450992

Least Common Multiple (LCM) of 8624 and 8633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8624 and 8633. First we will calculate the prime factors of 8624 and 8633.

Prime Factorization of 8624

Prime Factorization of 8633

Now multiplying the highest exponent prime factors to calculate the LCM of 8624 and 8633.

LCM(8624,8633) = 2⁴ × 7² × 11¹ × 89¹ × 97¹
LCM(8624,8633) = 74450992