What is the Least Common Multiple of 24933 and 24949?

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 24949 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 24949, than apply into the LCM equation.

GCF(24933,24949) = 1
LCM(24933,24949) = ( 24933 × 24949) / 1
LCM(24933,24949) = 622053417 / 1
LCM(24933,24949) = 622053417

Least Common Multiple (LCM) of 24933 and 24949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24933 and 24949. First we will calculate the prime factors of 24933 and 24949.

Prime Factorization of 24933

Prime Factorization of 24949

Now multiplying the highest exponent prime factors to calculate the LCM of 24933 and 24949.

LCM(24933,24949) = 3¹ × 8311¹ × 61¹ × 409¹
LCM(24933,24949) = 622053417