What is the Least Common Multiple of 72474 and 72489?

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 72474 and 72489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72474 and 72489, than apply into the LCM equation.

GCF(72474,72489) = 3
LCM(72474,72489) = ( 72474 × 72489) / 3
LCM(72474,72489) = 5253567786 / 3
LCM(72474,72489) = 1751189262

Least Common Multiple (LCM) of 72474 and 72489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72474 and 72489. First we will calculate the prime factors of 72474 and 72489.

Prime Factorization of 72474

Prime Factorization of 72489

Now multiplying the highest exponent prime factors to calculate the LCM of 72474 and 72489.

LCM(72474,72489) = 2¹ × 3¹ × 47¹ × 257¹ × 73¹ × 331¹
LCM(72474,72489) = 1751189262