What is the Least Common Multiple of 73714 and 73724?

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 73714 and 73724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73714 and 73724, than apply into the LCM equation.

GCF(73714,73724) = 2
LCM(73714,73724) = ( 73714 × 73724) / 2
LCM(73714,73724) = 5434490936 / 2
LCM(73714,73724) = 2717245468

Least Common Multiple (LCM) of 73714 and 73724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73714 and 73724. First we will calculate the prime factors of 73714 and 73724.

Prime Factorization of 73714

Prime Factorization of 73724

Now multiplying the highest exponent prime factors to calculate the LCM of 73714 and 73724.

LCM(73714,73724) = 2² × 36857¹ × 7¹ × 2633¹
LCM(73714,73724) = 2717245468