What is the Least Common Multiple of 49374 and 49392?

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 49374 and 49392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49374 and 49392, than apply into the LCM equation.

GCF(49374,49392) = 18
LCM(49374,49392) = ( 49374 × 49392) / 18
LCM(49374,49392) = 2438680608 / 18
LCM(49374,49392) = 135482256

Least Common Multiple (LCM) of 49374 and 49392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49374 and 49392. First we will calculate the prime factors of 49374 and 49392.

Prime Factorization of 49374

Prime Factorization of 49392

Now multiplying the highest exponent prime factors to calculate the LCM of 49374 and 49392.

LCM(49374,49392) = 2⁴ × 3² × 13¹ × 211¹ × 7³
LCM(49374,49392) = 135482256