What is the Least Common Multiple of 71328 and 71332?

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 71328 and 71332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71328 and 71332, than apply into the LCM equation.

GCF(71328,71332) = 4
LCM(71328,71332) = ( 71328 × 71332) / 4
LCM(71328,71332) = 5087968896 / 4
LCM(71328,71332) = 1271992224

Least Common Multiple (LCM) of 71328 and 71332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71328 and 71332. First we will calculate the prime factors of 71328 and 71332.

Prime Factorization of 71328

Prime Factorization of 71332

Now multiplying the highest exponent prime factors to calculate the LCM of 71328 and 71332.

LCM(71328,71332) = 2⁵ × 3¹ × 743¹ × 17¹ × 1049¹
LCM(71328,71332) = 1271992224