What is the Least Common Multiple of 52073 and 52081?

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 52073 and 52081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52073 and 52081, than apply into the LCM equation.

GCF(52073,52081) = 1
LCM(52073,52081) = ( 52073 × 52081) / 1
LCM(52073,52081) = 2712013913 / 1
LCM(52073,52081) = 2712013913

Least Common Multiple (LCM) of 52073 and 52081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52073 and 52081. First we will calculate the prime factors of 52073 and 52081.

Prime Factorization of 52073

Prime Factorization of 52081

Now multiplying the highest exponent prime factors to calculate the LCM of 52073 and 52081.

LCM(52073,52081) = 7¹ × 43¹ × 173¹ × 52081¹
LCM(52073,52081) = 2712013913