What is the Least Common Multiple of 38610 and 38623?

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 38610 and 38623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38610 and 38623, than apply into the LCM equation.

GCF(38610,38623) = 13
LCM(38610,38623) = ( 38610 × 38623) / 13
LCM(38610,38623) = 1491234030 / 13
LCM(38610,38623) = 114710310

Least Common Multiple (LCM) of 38610 and 38623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38610 and 38623. First we will calculate the prime factors of 38610 and 38623.

Prime Factorization of 38610

Prime Factorization of 38623

Now multiplying the highest exponent prime factors to calculate the LCM of 38610 and 38623.

LCM(38610,38623) = 2¹ × 3³ × 5¹ × 11¹ × 13¹ × 2971¹
LCM(38610,38623) = 114710310