What is the Least Common Multiple of 72694 and 72713?

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 72694 and 72713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72694 and 72713, than apply into the LCM equation.

GCF(72694,72713) = 19
LCM(72694,72713) = ( 72694 × 72713) / 19
LCM(72694,72713) = 5285798822 / 19
LCM(72694,72713) = 278199938

Least Common Multiple (LCM) of 72694 and 72713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72694 and 72713. First we will calculate the prime factors of 72694 and 72713.

Prime Factorization of 72694

Prime Factorization of 72713

Now multiplying the highest exponent prime factors to calculate the LCM of 72694 and 72713.

LCM(72694,72713) = 2¹ × 19¹ × 1913¹ × 43¹ × 89¹
LCM(72694,72713) = 278199938