What is the Least Common Multiple of 38166 and 38173?

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 38166 and 38173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38166 and 38173, than apply into the LCM equation.

GCF(38166,38173) = 1
LCM(38166,38173) = ( 38166 × 38173) / 1
LCM(38166,38173) = 1456910718 / 1
LCM(38166,38173) = 1456910718

Least Common Multiple (LCM) of 38166 and 38173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38166 and 38173. First we will calculate the prime factors of 38166 and 38173.

Prime Factorization of 38166

Prime Factorization of 38173

Now multiplying the highest exponent prime factors to calculate the LCM of 38166 and 38173.

LCM(38166,38173) = 2¹ × 3¹ × 6361¹ × 59¹ × 647¹
LCM(38166,38173) = 1456910718