What is the Least Common Multiple of 24065 and 24078?

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 24065 and 24078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24065 and 24078, than apply into the LCM equation.

GCF(24065,24078) = 1
LCM(24065,24078) = ( 24065 × 24078) / 1
LCM(24065,24078) = 579437070 / 1
LCM(24065,24078) = 579437070

Least Common Multiple (LCM) of 24065 and 24078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24065 and 24078. First we will calculate the prime factors of 24065 and 24078.

Prime Factorization of 24065

Prime Factorization of 24078

Now multiplying the highest exponent prime factors to calculate the LCM of 24065 and 24078.

LCM(24065,24078) = 5¹ × 4813¹ × 2¹ × 3¹ × 4013¹
LCM(24065,24078) = 579437070