What is the Least Common Multiple of 36196 and 36200?

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 36196 and 36200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36196 and 36200, than apply into the LCM equation.

GCF(36196,36200) = 4
LCM(36196,36200) = ( 36196 × 36200) / 4
LCM(36196,36200) = 1310295200 / 4
LCM(36196,36200) = 327573800

Least Common Multiple (LCM) of 36196 and 36200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36196 and 36200. First we will calculate the prime factors of 36196 and 36200.

Prime Factorization of 36196

Prime Factorization of 36200

Now multiplying the highest exponent prime factors to calculate the LCM of 36196 and 36200.

LCM(36196,36200) = 2³ × 9049¹ × 5² × 181¹
LCM(36196,36200) = 327573800