What is the Least Common Multiple of 38172 and 38186?

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 38172 and 38186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38172 and 38186, than apply into the LCM equation.

GCF(38172,38186) = 2
LCM(38172,38186) = ( 38172 × 38186) / 2
LCM(38172,38186) = 1457635992 / 2
LCM(38172,38186) = 728817996

Least Common Multiple (LCM) of 38172 and 38186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38172 and 38186. First we will calculate the prime factors of 38172 and 38186.

Prime Factorization of 38172

Prime Factorization of 38186

Now multiplying the highest exponent prime factors to calculate the LCM of 38172 and 38186.

LCM(38172,38186) = 2² × 3¹ × 3181¹ × 61¹ × 313¹
LCM(38172,38186) = 728817996