What is the Least Common Multiple of 72697 and 72714?

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 72697 and 72714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72697 and 72714, than apply into the LCM equation.

GCF(72697,72714) = 1
LCM(72697,72714) = ( 72697 × 72714) / 1
LCM(72697,72714) = 5286089658 / 1
LCM(72697,72714) = 5286089658

Least Common Multiple (LCM) of 72697 and 72714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72697 and 72714. First we will calculate the prime factors of 72697 and 72714.

Prime Factorization of 72697

Prime Factorization of 72714

Now multiplying the highest exponent prime factors to calculate the LCM of 72697 and 72714.

LCM(72697,72714) = 139¹ × 523¹ × 2¹ × 3¹ × 12119¹
LCM(72697,72714) = 5286089658