What is the Least Common Multiple of 19172 and 19186?

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 19172 and 19186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19172 and 19186, than apply into the LCM equation.

GCF(19172,19186) = 2
LCM(19172,19186) = ( 19172 × 19186) / 2
LCM(19172,19186) = 367833992 / 2
LCM(19172,19186) = 183916996

Least Common Multiple (LCM) of 19172 and 19186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19172 and 19186. First we will calculate the prime factors of 19172 and 19186.

Prime Factorization of 19172

Prime Factorization of 19186

Now multiplying the highest exponent prime factors to calculate the LCM of 19172 and 19186.

LCM(19172,19186) = 2² × 4793¹ × 53¹ × 181¹
LCM(19172,19186) = 183916996