What is the Least Common Multiple of 45339 and 45346?

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 45339 and 45346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45339 and 45346, than apply into the LCM equation.

GCF(45339,45346) = 7
LCM(45339,45346) = ( 45339 × 45346) / 7
LCM(45339,45346) = 2055942294 / 7
LCM(45339,45346) = 293706042

Least Common Multiple (LCM) of 45339 and 45346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45339 and 45346. First we will calculate the prime factors of 45339 and 45346.

Prime Factorization of 45339

Prime Factorization of 45346

Now multiplying the highest exponent prime factors to calculate the LCM of 45339 and 45346.

LCM(45339,45346) = 3¹ × 7¹ × 17¹ × 127¹ × 2¹ × 41¹ × 79¹
LCM(45339,45346) = 293706042