What is the Least Common Multiple of 36391 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 36391 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 36391 and 36400, than apply into the LCM equation.

GCF(36391,36400) = 1
LCM(36391,36400) = ( 36391 × 36400) / 1
LCM(36391,36400) = 1324632400 / 1
LCM(36391,36400) = 1324632400

Least Common Multiple (LCM) of 36391 and 36400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36391 and 36400. First we will calculate the prime factors of 36391 and 36400.

Prime Factorization of 36391

Prime Factorization of 36400

Now multiplying the highest exponent prime factors to calculate the LCM of 36391 and 36400.

LCM(36391,36400) = 151¹ × 241¹ × 2⁴ × 5² × 7¹ × 13¹
LCM(36391,36400) = 1324632400