What is the Least Common Multiple of 15378 and 15382?

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 15378 and 15382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15378 and 15382, than apply into the LCM equation.

GCF(15378,15382) = 2
LCM(15378,15382) = ( 15378 × 15382) / 2
LCM(15378,15382) = 236544396 / 2
LCM(15378,15382) = 118272198

Least Common Multiple (LCM) of 15378 and 15382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15378 and 15382. First we will calculate the prime factors of 15378 and 15382.

Prime Factorization of 15378

Prime Factorization of 15382

Now multiplying the highest exponent prime factors to calculate the LCM of 15378 and 15382.

LCM(15378,15382) = 2¹ × 3¹ × 11¹ × 233¹ × 7691¹
LCM(15378,15382) = 118272198