What is the Least Common Multiple of 72024 and 72035?

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 72024 and 72035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72024 and 72035, than apply into the LCM equation.

GCF(72024,72035) = 1
LCM(72024,72035) = ( 72024 × 72035) / 1
LCM(72024,72035) = 5188248840 / 1
LCM(72024,72035) = 5188248840

Least Common Multiple (LCM) of 72024 and 72035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72024 and 72035. First we will calculate the prime factors of 72024 and 72035.

Prime Factorization of 72024

Prime Factorization of 72035

Now multiplying the highest exponent prime factors to calculate the LCM of 72024 and 72035.

LCM(72024,72035) = 2³ × 3¹ × 3001¹ × 5¹ × 14407¹
LCM(72024,72035) = 5188248840