What is the Least Common Multiple of 24015 and 24033?

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 24015 and 24033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24015 and 24033, than apply into the LCM equation.

GCF(24015,24033) = 3
LCM(24015,24033) = ( 24015 × 24033) / 3
LCM(24015,24033) = 577152495 / 3
LCM(24015,24033) = 192384165

Least Common Multiple (LCM) of 24015 and 24033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24015 and 24033. First we will calculate the prime factors of 24015 and 24033.

Prime Factorization of 24015

Prime Factorization of 24033

Now multiplying the highest exponent prime factors to calculate the LCM of 24015 and 24033.

LCM(24015,24033) = 3¹ × 5¹ × 1601¹ × 8011¹
LCM(24015,24033) = 192384165