What is the Least Common Multiple of 72378 and 72382?

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 72378 and 72382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72378 and 72382, than apply into the LCM equation.

GCF(72378,72382) = 2
LCM(72378,72382) = ( 72378 × 72382) / 2
LCM(72378,72382) = 5238864396 / 2
LCM(72378,72382) = 2619432198

Least Common Multiple (LCM) of 72378 and 72382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72378 and 72382. First we will calculate the prime factors of 72378 and 72382.

Prime Factorization of 72378

Prime Factorization of 72382

Now multiplying the highest exponent prime factors to calculate the LCM of 72378 and 72382.

LCM(72378,72382) = 2¹ × 3² × 4021¹ × 36191¹
LCM(72378,72382) = 2619432198