What is the Least Common Multiple of 38685 and 38701?

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 38685 and 38701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38685 and 38701, than apply into the LCM equation.

GCF(38685,38701) = 1
LCM(38685,38701) = ( 38685 × 38701) / 1
LCM(38685,38701) = 1497148185 / 1
LCM(38685,38701) = 1497148185

Least Common Multiple (LCM) of 38685 and 38701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38685 and 38701. First we will calculate the prime factors of 38685 and 38701.

Prime Factorization of 38685

Prime Factorization of 38701

Now multiplying the highest exponent prime factors to calculate the LCM of 38685 and 38701.

LCM(38685,38701) = 3¹ × 5¹ × 2579¹ × 13² × 229¹
LCM(38685,38701) = 1497148185