What is the Least Common Multiple of 49419 and 49438?

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 49419 and 49438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49419 and 49438, than apply into the LCM equation.

GCF(49419,49438) = 19
LCM(49419,49438) = ( 49419 × 49438) / 19
LCM(49419,49438) = 2443176522 / 19
LCM(49419,49438) = 128588238

Least Common Multiple (LCM) of 49419 and 49438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49419 and 49438. First we will calculate the prime factors of 49419 and 49438.

Prime Factorization of 49419

Prime Factorization of 49438

Now multiplying the highest exponent prime factors to calculate the LCM of 49419 and 49438.

LCM(49419,49438) = 3² × 17² × 19¹ × 2¹ × 1301¹
LCM(49419,49438) = 128588238