What is the Least Common Multiple of 45336 and 45342?

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 45336 and 45342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45336 and 45342, than apply into the LCM equation.

GCF(45336,45342) = 6
LCM(45336,45342) = ( 45336 × 45342) / 6
LCM(45336,45342) = 2055624912 / 6
LCM(45336,45342) = 342604152

Least Common Multiple (LCM) of 45336 and 45342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45336 and 45342. First we will calculate the prime factors of 45336 and 45342.

Prime Factorization of 45336

Prime Factorization of 45342

Now multiplying the highest exponent prime factors to calculate the LCM of 45336 and 45342.

LCM(45336,45342) = 2³ × 3² × 1889¹ × 11¹ × 229¹
LCM(45336,45342) = 342604152