What is the Least Common Multiple of 72969 and 72978?

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 72969 and 72978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72969 and 72978, than apply into the LCM equation.

GCF(72969,72978) = 3
LCM(72969,72978) = ( 72969 × 72978) / 3
LCM(72969,72978) = 5325131682 / 3
LCM(72969,72978) = 1775043894

Least Common Multiple (LCM) of 72969 and 72978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72969 and 72978. First we will calculate the prime factors of 72969 and 72978.

Prime Factorization of 72969

Prime Factorization of 72978

Now multiplying the highest exponent prime factors to calculate the LCM of 72969 and 72978.

LCM(72969,72978) = 3¹ × 13¹ × 1871¹ × 2¹ × 12163¹
LCM(72969,72978) = 1775043894