What is the Least Common Multiple of 47696 and 47716?

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 47696 and 47716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47696 and 47716, than apply into the LCM equation.

GCF(47696,47716) = 4
LCM(47696,47716) = ( 47696 × 47716) / 4
LCM(47696,47716) = 2275862336 / 4
LCM(47696,47716) = 568965584

Least Common Multiple (LCM) of 47696 and 47716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47696 and 47716. First we will calculate the prime factors of 47696 and 47716.

Prime Factorization of 47696

Prime Factorization of 47716

Now multiplying the highest exponent prime factors to calculate the LCM of 47696 and 47716.

LCM(47696,47716) = 2⁴ × 11¹ × 271¹ × 79¹ × 151¹
LCM(47696,47716) = 568965584