What is the Least Common Multiple of 71856 and 71868?

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 71856 and 71868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71856 and 71868, than apply into the LCM equation.

GCF(71856,71868) = 12
LCM(71856,71868) = ( 71856 × 71868) / 12
LCM(71856,71868) = 5164147008 / 12
LCM(71856,71868) = 430345584

Least Common Multiple (LCM) of 71856 and 71868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71856 and 71868. First we will calculate the prime factors of 71856 and 71868.

Prime Factorization of 71856

Prime Factorization of 71868

Now multiplying the highest exponent prime factors to calculate the LCM of 71856 and 71868.

LCM(71856,71868) = 2⁴ × 3² × 499¹ × 53¹ × 113¹
LCM(71856,71868) = 430345584