What is the Least Common Multiple of 58400 and 58418?

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 58400 and 58418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58400 and 58418, than apply into the LCM equation.

GCF(58400,58418) = 2
LCM(58400,58418) = ( 58400 × 58418) / 2
LCM(58400,58418) = 3411611200 / 2
LCM(58400,58418) = 1705805600

Least Common Multiple (LCM) of 58400 and 58418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58400 and 58418. First we will calculate the prime factors of 58400 and 58418.

Prime Factorization of 58400

Prime Factorization of 58418

Now multiplying the highest exponent prime factors to calculate the LCM of 58400 and 58418.

LCM(58400,58418) = 2⁵ × 5² × 73¹ × 29209¹
LCM(58400,58418) = 1705805600