What is the Least Common Multiple of 38178 and 38193?

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 38178 and 38193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38178 and 38193, than apply into the LCM equation.

GCF(38178,38193) = 3
LCM(38178,38193) = ( 38178 × 38193) / 3
LCM(38178,38193) = 1458132354 / 3
LCM(38178,38193) = 486044118

Least Common Multiple (LCM) of 38178 and 38193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38178 and 38193. First we will calculate the prime factors of 38178 and 38193.

Prime Factorization of 38178

Prime Factorization of 38193

Now multiplying the highest exponent prime factors to calculate the LCM of 38178 and 38193.

LCM(38178,38193) = 2¹ × 3³ × 7¹ × 101¹ × 29¹ × 439¹
LCM(38178,38193) = 486044118