What is the Least Common Multiple of 71696 and 71705?

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 71705 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 71705, than apply into the LCM equation.

GCF(71696,71705) = 1
LCM(71696,71705) = ( 71696 × 71705) / 1
LCM(71696,71705) = 5140961680 / 1
LCM(71696,71705) = 5140961680

Least Common Multiple (LCM) of 71696 and 71705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71696 and 71705. First we will calculate the prime factors of 71696 and 71705.

Prime Factorization of 71696

Prime Factorization of 71705

Now multiplying the highest exponent prime factors to calculate the LCM of 71696 and 71705.

LCM(71696,71705) = 2⁴ × 4481¹ × 5¹ × 14341¹
LCM(71696,71705) = 5140961680