What is the Least Common Multiple of 72709 and 72726?

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 72709 and 72726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72709 and 72726, than apply into the LCM equation.

GCF(72709,72726) = 17
LCM(72709,72726) = ( 72709 × 72726) / 17
LCM(72709,72726) = 5287834734 / 17
LCM(72709,72726) = 311049102

Least Common Multiple (LCM) of 72709 and 72726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72709 and 72726. First we will calculate the prime factors of 72709 and 72726.

Prime Factorization of 72709

Prime Factorization of 72726

Now multiplying the highest exponent prime factors to calculate the LCM of 72709 and 72726.

LCM(72709,72726) = 7¹ × 13¹ × 17¹ × 47¹ × 2¹ × 3¹ × 23¹ × 31¹
LCM(72709,72726) = 311049102