What is the Least Common Multiple of 52043 and 52063?

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 52043 and 52063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52043 and 52063, than apply into the LCM equation.

GCF(52043,52063) = 1
LCM(52043,52063) = ( 52043 × 52063) / 1
LCM(52043,52063) = 2709514709 / 1
LCM(52043,52063) = 2709514709

Least Common Multiple (LCM) of 52043 and 52063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52043 and 52063. First we will calculate the prime factors of 52043 and 52063.

Prime Factorization of 52043

Prime Factorization of 52063

Now multiplying the highest exponent prime factors to calculate the LCM of 52043 and 52063.

LCM(52043,52063) = 71¹ × 733¹ × 11¹ × 4733¹
LCM(52043,52063) = 2709514709