What is the Least Common Multiple of 47328 and 47346?

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 47328 and 47346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47328 and 47346, than apply into the LCM equation.

GCF(47328,47346) = 6
LCM(47328,47346) = ( 47328 × 47346) / 6
LCM(47328,47346) = 2240791488 / 6
LCM(47328,47346) = 373465248

Least Common Multiple (LCM) of 47328 and 47346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47328 and 47346. First we will calculate the prime factors of 47328 and 47346.

Prime Factorization of 47328

Prime Factorization of 47346

Now multiplying the highest exponent prime factors to calculate the LCM of 47328 and 47346.

LCM(47328,47346) = 2⁵ × 3¹ × 17¹ × 29¹ × 13¹ × 607¹
LCM(47328,47346) = 373465248