What is the Least Common Multiple of 45342 and 45353?

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 45342 and 45353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45342 and 45353, than apply into the LCM equation.

GCF(45342,45353) = 11
LCM(45342,45353) = ( 45342 × 45353) / 11
LCM(45342,45353) = 2056395726 / 11
LCM(45342,45353) = 186945066

Least Common Multiple (LCM) of 45342 and 45353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45342 and 45353. First we will calculate the prime factors of 45342 and 45353.

Prime Factorization of 45342

Prime Factorization of 45353

Now multiplying the highest exponent prime factors to calculate the LCM of 45342 and 45353.

LCM(45342,45353) = 2¹ × 3² × 11¹ × 229¹ × 7¹ × 19¹ × 31¹
LCM(45342,45353) = 186945066