What is the Least Common Multiple of 38163 and 38172?

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 38163 and 38172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38163 and 38172, than apply into the LCM equation.

GCF(38163,38172) = 3
LCM(38163,38172) = ( 38163 × 38172) / 3
LCM(38163,38172) = 1456758036 / 3
LCM(38163,38172) = 485586012

Least Common Multiple (LCM) of 38163 and 38172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38163 and 38172. First we will calculate the prime factors of 38163 and 38172.

Prime Factorization of 38163

Prime Factorization of 38172

Now multiplying the highest exponent prime factors to calculate the LCM of 38163 and 38172.

LCM(38163,38172) = 3¹ × 12721¹ × 2² × 3181¹
LCM(38163,38172) = 485586012