What is the Least Common Multiple of 72702 and 72715?

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 72715 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 72715, than apply into the LCM equation.

GCF(72702,72715) = 1
LCM(72702,72715) = ( 72702 × 72715) / 1
LCM(72702,72715) = 5286525930 / 1
LCM(72702,72715) = 5286525930

Least Common Multiple (LCM) of 72702 and 72715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72702 and 72715. First we will calculate the prime factors of 72702 and 72715.

Prime Factorization of 72702

Prime Factorization of 72715

Now multiplying the highest exponent prime factors to calculate the LCM of 72702 and 72715.

LCM(72702,72715) = 2¹ × 3² × 7¹ × 577¹ × 5¹ × 14543¹
LCM(72702,72715) = 5286525930