What is the Least Common Multiple of 36394 and 36400?

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 36394 and 36400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36394 and 36400, than apply into the LCM equation.

GCF(36394,36400) = 2
LCM(36394,36400) = ( 36394 × 36400) / 2
LCM(36394,36400) = 1324741600 / 2
LCM(36394,36400) = 662370800

Least Common Multiple (LCM) of 36394 and 36400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36394 and 36400. First we will calculate the prime factors of 36394 and 36400.

Prime Factorization of 36394

Prime Factorization of 36400

Now multiplying the highest exponent prime factors to calculate the LCM of 36394 and 36400.

LCM(36394,36400) = 2⁴ × 31¹ × 587¹ × 5² × 7¹ × 13¹
LCM(36394,36400) = 662370800