What is the Least Common Multiple of 72914 and 72920?

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 72914 and 72920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72914 and 72920, than apply into the LCM equation.

GCF(72914,72920) = 2
LCM(72914,72920) = ( 72914 × 72920) / 2
LCM(72914,72920) = 5316888880 / 2
LCM(72914,72920) = 2658444440

Least Common Multiple (LCM) of 72914 and 72920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72914 and 72920. First we will calculate the prime factors of 72914 and 72920.

Prime Factorization of 72914

Prime Factorization of 72920

Now multiplying the highest exponent prime factors to calculate the LCM of 72914 and 72920.

LCM(72914,72920) = 2³ × 36457¹ × 5¹ × 1823¹
LCM(72914,72920) = 2658444440