What is the Least Common Multiple of 45342 and 45354?

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 45354 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 45354, than apply into the LCM equation.

GCF(45342,45354) = 6
LCM(45342,45354) = ( 45342 × 45354) / 6
LCM(45342,45354) = 2056441068 / 6
LCM(45342,45354) = 342740178

Least Common Multiple (LCM) of 45342 and 45354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45342 and 45354. First we will calculate the prime factors of 45342 and 45354.

Prime Factorization of 45342

Prime Factorization of 45354

Now multiplying the highest exponent prime factors to calculate the LCM of 45342 and 45354.

LCM(45342,45354) = 2¹ × 3² × 11¹ × 229¹ × 7559¹
LCM(45342,45354) = 342740178