What is the Least Common Multiple of 72465 and 72470?

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 72465 and 72470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72465 and 72470, than apply into the LCM equation.

GCF(72465,72470) = 5
LCM(72465,72470) = ( 72465 × 72470) / 5
LCM(72465,72470) = 5251538550 / 5
LCM(72465,72470) = 1050307710

Least Common Multiple (LCM) of 72465 and 72470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72465 and 72470. First we will calculate the prime factors of 72465 and 72470.

Prime Factorization of 72465

Prime Factorization of 72470

Now multiplying the highest exponent prime factors to calculate the LCM of 72465 and 72470.

LCM(72465,72470) = 3¹ × 5¹ × 4831¹ × 2¹ × 7247¹
LCM(72465,72470) = 1050307710