What is the Least Common Multiple of 71696 and 71709?

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 71696 and 71709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71696 and 71709, than apply into the LCM equation.

GCF(71696,71709) = 1
LCM(71696,71709) = ( 71696 × 71709) / 1
LCM(71696,71709) = 5141248464 / 1
LCM(71696,71709) = 5141248464

Least Common Multiple (LCM) of 71696 and 71709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71696 and 71709. First we will calculate the prime factors of 71696 and 71709.

Prime Factorization of 71696

Prime Factorization of 71709

Now multiplying the highest exponent prime factors to calculate the LCM of 71696 and 71709.

LCM(71696,71709) = 2⁴ × 4481¹ × 3¹ × 11¹ × 41¹ × 53¹
LCM(71696,71709) = 5141248464