What is the Least Common Multiple of 71709 and 71728?

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 71709 and 71728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71709 and 71728, than apply into the LCM equation.

GCF(71709,71728) = 1
LCM(71709,71728) = ( 71709 × 71728) / 1
LCM(71709,71728) = 5143543152 / 1
LCM(71709,71728) = 5143543152

Least Common Multiple (LCM) of 71709 and 71728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71709 and 71728. First we will calculate the prime factors of 71709 and 71728.

Prime Factorization of 71709

Prime Factorization of 71728

Now multiplying the highest exponent prime factors to calculate the LCM of 71709 and 71728.

LCM(71709,71728) = 3¹ × 11¹ × 41¹ × 53¹ × 2⁴ × 4483¹
LCM(71709,71728) = 5143543152