What is the Least Common Multiple of 38142 and 38155?

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 38142 and 38155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38142 and 38155, than apply into the LCM equation.

GCF(38142,38155) = 13
LCM(38142,38155) = ( 38142 × 38155) / 13
LCM(38142,38155) = 1455308010 / 13
LCM(38142,38155) = 111946770

Least Common Multiple (LCM) of 38142 and 38155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38142 and 38155. First we will calculate the prime factors of 38142 and 38155.

Prime Factorization of 38142

Prime Factorization of 38155

Now multiplying the highest exponent prime factors to calculate the LCM of 38142 and 38155.

LCM(38142,38155) = 2¹ × 3² × 13¹ × 163¹ × 5¹ × 587¹
LCM(38142,38155) = 111946770