What is the Least Common Multiple of 38172 and 38184?

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 38184 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 38184, than apply into the LCM equation.

GCF(38172,38184) = 12
LCM(38172,38184) = ( 38172 × 38184) / 12
LCM(38172,38184) = 1457559648 / 12
LCM(38172,38184) = 121463304

Least Common Multiple (LCM) of 38172 and 38184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38172 and 38184. First we will calculate the prime factors of 38172 and 38184.

Prime Factorization of 38172

Prime Factorization of 38184

Now multiplying the highest exponent prime factors to calculate the LCM of 38172 and 38184.

LCM(38172,38184) = 2³ × 3¹ × 3181¹ × 37¹ × 43¹
LCM(38172,38184) = 121463304