What is the Least Common Multiple of 38724 and 38738?

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 38738 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 38738, than apply into the LCM equation.

GCF(38724,38738) = 14
LCM(38724,38738) = ( 38724 × 38738) / 14
LCM(38724,38738) = 1500090312 / 14
LCM(38724,38738) = 107149308

Least Common Multiple (LCM) of 38724 and 38738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38724 and 38738. First we will calculate the prime factors of 38724 and 38738.

Prime Factorization of 38724

Prime Factorization of 38738

Now multiplying the highest exponent prime factors to calculate the LCM of 38724 and 38738.

LCM(38724,38738) = 2² × 3¹ × 7¹ × 461¹ × 2767¹
LCM(38724,38738) = 107149308