What is the Least Common Multiple of 24645 and 24663?

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 24645 and 24663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24645 and 24663, than apply into the LCM equation.

GCF(24645,24663) = 3
LCM(24645,24663) = ( 24645 × 24663) / 3
LCM(24645,24663) = 607819635 / 3
LCM(24645,24663) = 202606545

Least Common Multiple (LCM) of 24645 and 24663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24645 and 24663. First we will calculate the prime factors of 24645 and 24663.

Prime Factorization of 24645

Prime Factorization of 24663

Now multiplying the highest exponent prime factors to calculate the LCM of 24645 and 24663.

LCM(24645,24663) = 3¹ × 5¹ × 31¹ × 53¹ × 8221¹
LCM(24645,24663) = 202606545