What is the Least Common Multiple of 38709 and 38713?

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 38709 and 38713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38709 and 38713, than apply into the LCM equation.

GCF(38709,38713) = 1
LCM(38709,38713) = ( 38709 × 38713) / 1
LCM(38709,38713) = 1498541517 / 1
LCM(38709,38713) = 1498541517

Least Common Multiple (LCM) of 38709 and 38713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38709 and 38713. First we will calculate the prime factors of 38709 and 38713.

Prime Factorization of 38709

Prime Factorization of 38713

Now multiplying the highest exponent prime factors to calculate the LCM of 38709 and 38713.

LCM(38709,38713) = 3² × 11¹ × 17¹ × 23¹ × 38713¹
LCM(38709,38713) = 1498541517