What is the Least Common Multiple of 49400 and 49419?

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 49400 and 49419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49400 and 49419, than apply into the LCM equation.

GCF(49400,49419) = 19
LCM(49400,49419) = ( 49400 × 49419) / 19
LCM(49400,49419) = 2441298600 / 19
LCM(49400,49419) = 128489400

Least Common Multiple (LCM) of 49400 and 49419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49400 and 49419. First we will calculate the prime factors of 49400 and 49419.

Prime Factorization of 49400

Prime Factorization of 49419

Now multiplying the highest exponent prime factors to calculate the LCM of 49400 and 49419.

LCM(49400,49419) = 2³ × 5² × 13¹ × 19¹ × 3² × 17²
LCM(49400,49419) = 128489400