What is the Least Common Multiple of 36194 and 36206?

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 36194 and 36206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36194 and 36206, than apply into the LCM equation.

GCF(36194,36206) = 2
LCM(36194,36206) = ( 36194 × 36206) / 2
LCM(36194,36206) = 1310439964 / 2
LCM(36194,36206) = 655219982

Least Common Multiple (LCM) of 36194 and 36206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36194 and 36206. First we will calculate the prime factors of 36194 and 36206.

Prime Factorization of 36194

Prime Factorization of 36206

Now multiplying the highest exponent prime factors to calculate the LCM of 36194 and 36206.

LCM(36194,36206) = 2¹ × 18097¹ × 43¹ × 421¹
LCM(36194,36206) = 655219982