What is the Least Common Multiple of 72702 and 72719?

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 72702 and 72719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72702 and 72719, than apply into the LCM equation.

GCF(72702,72719) = 1
LCM(72702,72719) = ( 72702 × 72719) / 1
LCM(72702,72719) = 5286816738 / 1
LCM(72702,72719) = 5286816738

Least Common Multiple (LCM) of 72702 and 72719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72702 and 72719. First we will calculate the prime factors of 72702 and 72719.

Prime Factorization of 72702

Prime Factorization of 72719

Now multiplying the highest exponent prime factors to calculate the LCM of 72702 and 72719.

LCM(72702,72719) = 2¹ × 3² × 7¹ × 577¹ × 72719¹
LCM(72702,72719) = 5286816738