What is the Least Common Multiple of 65172 and 65186?

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 65172 and 65186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65172 and 65186, than apply into the LCM equation.

GCF(65172,65186) = 2
LCM(65172,65186) = ( 65172 × 65186) / 2
LCM(65172,65186) = 4248301992 / 2
LCM(65172,65186) = 2124150996

Least Common Multiple (LCM) of 65172 and 65186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65172 and 65186. First we will calculate the prime factors of 65172 and 65186.

Prime Factorization of 65172

Prime Factorization of 65186

Now multiplying the highest exponent prime factors to calculate the LCM of 65172 and 65186.

LCM(65172,65186) = 2² × 3¹ × 5431¹ × 11¹ × 2963¹
LCM(65172,65186) = 2124150996