What is the Least Common Multiple of 45346 and 45359?

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 45346 and 45359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45346 and 45359, than apply into the LCM equation.

GCF(45346,45359) = 1
LCM(45346,45359) = ( 45346 × 45359) / 1
LCM(45346,45359) = 2056849214 / 1
LCM(45346,45359) = 2056849214

Least Common Multiple (LCM) of 45346 and 45359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45346 and 45359. First we will calculate the prime factors of 45346 and 45359.

Prime Factorization of 45346

Prime Factorization of 45359

Now multiplying the highest exponent prime factors to calculate the LCM of 45346 and 45359.

LCM(45346,45359) = 2¹ × 7¹ × 41¹ × 79¹ × 67¹ × 677¹
LCM(45346,45359) = 2056849214