What is the Least Common Multiple of 38724 and 38742?

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 38724 and 38742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38724 and 38742, than apply into the LCM equation.

GCF(38724,38742) = 6
LCM(38724,38742) = ( 38724 × 38742) / 6
LCM(38724,38742) = 1500245208 / 6
LCM(38724,38742) = 250040868

Least Common Multiple (LCM) of 38724 and 38742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38724 and 38742. First we will calculate the prime factors of 38724 and 38742.

Prime Factorization of 38724

Prime Factorization of 38742

Now multiplying the highest exponent prime factors to calculate the LCM of 38724 and 38742.

LCM(38724,38742) = 2² × 3¹ × 7¹ × 461¹ × 11¹ × 587¹
LCM(38724,38742) = 250040868