What is the Least Common Multiple of 47712 and 47717?

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 47712 and 47717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47712 and 47717, than apply into the LCM equation.

GCF(47712,47717) = 1
LCM(47712,47717) = ( 47712 × 47717) / 1
LCM(47712,47717) = 2276673504 / 1
LCM(47712,47717) = 2276673504

Least Common Multiple (LCM) of 47712 and 47717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47712 and 47717. First we will calculate the prime factors of 47712 and 47717.

Prime Factorization of 47712

Prime Factorization of 47717

Now multiplying the highest exponent prime factors to calculate the LCM of 47712 and 47717.

LCM(47712,47717) = 2⁵ × 3¹ × 7¹ × 71¹ × 47717¹
LCM(47712,47717) = 2276673504