What is the Least Common Multiple of 24078 and 24087?

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 24078 and 24087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24078 and 24087, than apply into the LCM equation.

GCF(24078,24087) = 3
LCM(24078,24087) = ( 24078 × 24087) / 3
LCM(24078,24087) = 579966786 / 3
LCM(24078,24087) = 193322262

Least Common Multiple (LCM) of 24078 and 24087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24078 and 24087. First we will calculate the prime factors of 24078 and 24087.

Prime Factorization of 24078

Prime Factorization of 24087

Now multiplying the highest exponent prime factors to calculate the LCM of 24078 and 24087.

LCM(24078,24087) = 2¹ × 3¹ × 4013¹ × 7¹ × 31¹ × 37¹
LCM(24078,24087) = 193322262