What is the Least Common Multiple of 24933 and 24948?

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 24933 and 24948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24933 and 24948, than apply into the LCM equation.

GCF(24933,24948) = 3
LCM(24933,24948) = ( 24933 × 24948) / 3
LCM(24933,24948) = 622028484 / 3
LCM(24933,24948) = 207342828

Least Common Multiple (LCM) of 24933 and 24948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24933 and 24948. First we will calculate the prime factors of 24933 and 24948.

Prime Factorization of 24933

Prime Factorization of 24948

Now multiplying the highest exponent prime factors to calculate the LCM of 24933 and 24948.

LCM(24933,24948) = 3⁴ × 8311¹ × 2² × 7¹ × 11¹
LCM(24933,24948) = 207342828