What is the Least Common Multiple of 71696 and 71714?

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 71714 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 71714, than apply into the LCM equation.

GCF(71696,71714) = 2
LCM(71696,71714) = ( 71696 × 71714) / 2
LCM(71696,71714) = 5141606944 / 2
LCM(71696,71714) = 2570803472

Least Common Multiple (LCM) of 71696 and 71714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71696 and 71714. First we will calculate the prime factors of 71696 and 71714.

Prime Factorization of 71696

Prime Factorization of 71714

Now multiplying the highest exponent prime factors to calculate the LCM of 71696 and 71714.

LCM(71696,71714) = 2⁴ × 4481¹ × 23¹ × 1559¹
LCM(71696,71714) = 2570803472