What is the Least Common Multiple of 72714 and 72734?

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 72714 and 72734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72714 and 72734, than apply into the LCM equation.

GCF(72714,72734) = 2
LCM(72714,72734) = ( 72714 × 72734) / 2
LCM(72714,72734) = 5288780076 / 2
LCM(72714,72734) = 2644390038

Least Common Multiple (LCM) of 72714 and 72734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72714 and 72734. First we will calculate the prime factors of 72714 and 72734.

Prime Factorization of 72714

Prime Factorization of 72734

Now multiplying the highest exponent prime factors to calculate the LCM of 72714 and 72734.

LCM(72714,72734) = 2¹ × 3¹ × 12119¹ × 41¹ × 887¹
LCM(72714,72734) = 2644390038