What is the Least Common Multiple of 49400 and 49408?

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 49408 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 49408, than apply into the LCM equation.

GCF(49400,49408) = 8
LCM(49400,49408) = ( 49400 × 49408) / 8
LCM(49400,49408) = 2440755200 / 8
LCM(49400,49408) = 305094400

Least Common Multiple (LCM) of 49400 and 49408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49400 and 49408. First we will calculate the prime factors of 49400 and 49408.

Prime Factorization of 49400

Prime Factorization of 49408

Now multiplying the highest exponent prime factors to calculate the LCM of 49400 and 49408.

LCM(49400,49408) = 2⁸ × 5² × 13¹ × 19¹ × 193¹
LCM(49400,49408) = 305094400