What is the Least Common Multiple of 72642 and 72647?

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 72642 and 72647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72642 and 72647, than apply into the LCM equation.

GCF(72642,72647) = 1
LCM(72642,72647) = ( 72642 × 72647) / 1
LCM(72642,72647) = 5277223374 / 1
LCM(72642,72647) = 5277223374

Least Common Multiple (LCM) of 72642 and 72647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72642 and 72647. First we will calculate the prime factors of 72642 and 72647.

Prime Factorization of 72642

Prime Factorization of 72647

Now multiplying the highest exponent prime factors to calculate the LCM of 72642 and 72647.

LCM(72642,72647) = 2¹ × 3¹ × 12107¹ × 72647¹
LCM(72642,72647) = 5277223374