What is the Least Common Multiple of 47056 and 47061?

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 47056 and 47061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47056 and 47061, than apply into the LCM equation.

GCF(47056,47061) = 1
LCM(47056,47061) = ( 47056 × 47061) / 1
LCM(47056,47061) = 2214502416 / 1
LCM(47056,47061) = 2214502416

Least Common Multiple (LCM) of 47056 and 47061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47056 and 47061. First we will calculate the prime factors of 47056 and 47061.

Prime Factorization of 47056

Prime Factorization of 47061

Now multiplying the highest exponent prime factors to calculate the LCM of 47056 and 47061.

LCM(47056,47061) = 2⁴ × 17¹ × 173¹ × 3⁴ × 7¹ × 83¹
LCM(47056,47061) = 2214502416