What is the Least Common Multiple of 72658 and 72673?

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 72658 and 72673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72658 and 72673, than apply into the LCM equation.

GCF(72658,72673) = 1
LCM(72658,72673) = ( 72658 × 72673) / 1
LCM(72658,72673) = 5280274834 / 1
LCM(72658,72673) = 5280274834

Least Common Multiple (LCM) of 72658 and 72673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72658 and 72673. First we will calculate the prime factors of 72658 and 72673.

Prime Factorization of 72658

Prime Factorization of 72673

Now multiplying the highest exponent prime factors to calculate the LCM of 72658 and 72673.

LCM(72658,72673) = 2¹ × 17¹ × 2137¹ × 72673¹
LCM(72658,72673) = 5280274834