What is the Least Common Multiple of 58400 and 58415?

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 58415 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 58415, than apply into the LCM equation.

GCF(58400,58415) = 5
LCM(58400,58415) = ( 58400 × 58415) / 5
LCM(58400,58415) = 3411436000 / 5
LCM(58400,58415) = 682287200

Least Common Multiple (LCM) of 58400 and 58415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58400 and 58415. First we will calculate the prime factors of 58400 and 58415.

Prime Factorization of 58400

Prime Factorization of 58415

Now multiplying the highest exponent prime factors to calculate the LCM of 58400 and 58415.

LCM(58400,58415) = 2⁵ × 5² × 73¹ × 7¹ × 1669¹
LCM(58400,58415) = 682287200