What is the Least Common Multiple of 39858 and 39872?

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 39858 and 39872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39858 and 39872, than apply into the LCM equation.

GCF(39858,39872) = 14
LCM(39858,39872) = ( 39858 × 39872) / 14
LCM(39858,39872) = 1589218176 / 14
LCM(39858,39872) = 113515584

Least Common Multiple (LCM) of 39858 and 39872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39858 and 39872. First we will calculate the prime factors of 39858 and 39872.

Prime Factorization of 39858

Prime Factorization of 39872

Now multiplying the highest exponent prime factors to calculate the LCM of 39858 and 39872.

LCM(39858,39872) = 2⁶ × 3¹ × 7¹ × 13¹ × 73¹ × 89¹
LCM(39858,39872) = 113515584