What is the Least Common Multiple of 38865 and 38874?

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 38865 and 38874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38865 and 38874, than apply into the LCM equation.

GCF(38865,38874) = 3
LCM(38865,38874) = ( 38865 × 38874) / 3
LCM(38865,38874) = 1510838010 / 3
LCM(38865,38874) = 503612670

Least Common Multiple (LCM) of 38865 and 38874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38865 and 38874. First we will calculate the prime factors of 38865 and 38874.

Prime Factorization of 38865

Prime Factorization of 38874

Now multiplying the highest exponent prime factors to calculate the LCM of 38865 and 38874.

LCM(38865,38874) = 3¹ × 5¹ × 2591¹ × 2¹ × 11¹ × 19¹ × 31¹
LCM(38865,38874) = 503612670