What is the Least Common Multiple of 36400 and 36417?

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 36417 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 36417, than apply into the LCM equation.

GCF(36400,36417) = 1
LCM(36400,36417) = ( 36400 × 36417) / 1
LCM(36400,36417) = 1325578800 / 1
LCM(36400,36417) = 1325578800

Least Common Multiple (LCM) of 36400 and 36417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36400 and 36417. First we will calculate the prime factors of 36400 and 36417.

Prime Factorization of 36400

Prime Factorization of 36417

Now multiplying the highest exponent prime factors to calculate the LCM of 36400 and 36417.

LCM(36400,36417) = 2⁴ × 5² × 7¹ × 13¹ × 3¹ × 61¹ × 199¹
LCM(36400,36417) = 1325578800