What is the Least Common Multiple of 22624 and 22633?

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 22624 and 22633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22624 and 22633, than apply into the LCM equation.

GCF(22624,22633) = 1
LCM(22624,22633) = ( 22624 × 22633) / 1
LCM(22624,22633) = 512048992 / 1
LCM(22624,22633) = 512048992

Least Common Multiple (LCM) of 22624 and 22633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22624 and 22633. First we will calculate the prime factors of 22624 and 22633.

Prime Factorization of 22624

Prime Factorization of 22633

Now multiplying the highest exponent prime factors to calculate the LCM of 22624 and 22633.

LCM(22624,22633) = 2⁵ × 7¹ × 101¹ × 13¹ × 1741¹
LCM(22624,22633) = 512048992