What is the Least Common Multiple of 72966 and 72980?

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 72966 and 72980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72966 and 72980, than apply into the LCM equation.

GCF(72966,72980) = 2
LCM(72966,72980) = ( 72966 × 72980) / 2
LCM(72966,72980) = 5325058680 / 2
LCM(72966,72980) = 2662529340

Least Common Multiple (LCM) of 72966 and 72980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72966 and 72980. First we will calculate the prime factors of 72966 and 72980.

Prime Factorization of 72966

Prime Factorization of 72980

Now multiplying the highest exponent prime factors to calculate the LCM of 72966 and 72980.

LCM(72966,72980) = 2² × 3¹ × 12161¹ × 5¹ × 41¹ × 89¹
LCM(72966,72980) = 2662529340