What is the Least Common Multiple of 56513 and 56533?

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 56513 and 56533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56513 and 56533, than apply into the LCM equation.

GCF(56513,56533) = 1
LCM(56513,56533) = ( 56513 × 56533) / 1
LCM(56513,56533) = 3194849429 / 1
LCM(56513,56533) = 3194849429

Least Common Multiple (LCM) of 56513 and 56533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56513 and 56533. First we will calculate the prime factors of 56513 and 56533.

Prime Factorization of 56513

Prime Factorization of 56533

Now multiplying the highest exponent prime factors to calculate the LCM of 56513 and 56533.

LCM(56513,56533) = 31¹ × 1823¹ × 56533¹
LCM(56513,56533) = 3194849429