What is the Least Common Multiple of 49392 and 49407?

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 49392 and 49407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49392 and 49407, than apply into the LCM equation.

GCF(49392,49407) = 3
LCM(49392,49407) = ( 49392 × 49407) / 3
LCM(49392,49407) = 2440310544 / 3
LCM(49392,49407) = 813436848

Least Common Multiple (LCM) of 49392 and 49407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49392 and 49407. First we will calculate the prime factors of 49392 and 49407.

Prime Factorization of 49392

Prime Factorization of 49407

Now multiplying the highest exponent prime factors to calculate the LCM of 49392 and 49407.

LCM(49392,49407) = 2⁴ × 3² × 7³ × 43¹ × 383¹
LCM(49392,49407) = 813436848