What is the Least Common Multiple of 30864 and 30874?

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 30864 and 30874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30864 and 30874, than apply into the LCM equation.

GCF(30864,30874) = 2
LCM(30864,30874) = ( 30864 × 30874) / 2
LCM(30864,30874) = 952895136 / 2
LCM(30864,30874) = 476447568

Least Common Multiple (LCM) of 30864 and 30874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30864 and 30874. First we will calculate the prime factors of 30864 and 30874.

Prime Factorization of 30864

Prime Factorization of 30874

Now multiplying the highest exponent prime factors to calculate the LCM of 30864 and 30874.

LCM(30864,30874) = 2⁴ × 3¹ × 643¹ × 43¹ × 359¹
LCM(30864,30874) = 476447568