What is the Least Common Multiple of 47688 and 47696?

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 47688 and 47696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47688 and 47696, than apply into the LCM equation.

GCF(47688,47696) = 8
LCM(47688,47696) = ( 47688 × 47696) / 8
LCM(47688,47696) = 2274526848 / 8
LCM(47688,47696) = 284315856

Least Common Multiple (LCM) of 47688 and 47696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47688 and 47696. First we will calculate the prime factors of 47688 and 47696.

Prime Factorization of 47688

Prime Factorization of 47696

Now multiplying the highest exponent prime factors to calculate the LCM of 47688 and 47696.

LCM(47688,47696) = 2⁴ × 3¹ × 1987¹ × 11¹ × 271¹
LCM(47688,47696) = 284315856