What is the Least Common Multiple of 36400 and 36415?

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 36400 and 36415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36400 and 36415, than apply into the LCM equation.

GCF(36400,36415) = 5
LCM(36400,36415) = ( 36400 × 36415) / 5
LCM(36400,36415) = 1325506000 / 5
LCM(36400,36415) = 265101200

Least Common Multiple (LCM) of 36400 and 36415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36400 and 36415. First we will calculate the prime factors of 36400 and 36415.

Prime Factorization of 36400

Prime Factorization of 36415

Now multiplying the highest exponent prime factors to calculate the LCM of 36400 and 36415.

LCM(36400,36415) = 2⁴ × 5² × 7¹ × 13¹ × 7283¹
LCM(36400,36415) = 265101200