What is the Least Common Multiple of 54330 and 54342?

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 54330 and 54342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54330 and 54342, than apply into the LCM equation.

GCF(54330,54342) = 6
LCM(54330,54342) = ( 54330 × 54342) / 6
LCM(54330,54342) = 2952400860 / 6
LCM(54330,54342) = 492066810

Least Common Multiple (LCM) of 54330 and 54342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54330 and 54342. First we will calculate the prime factors of 54330 and 54342.

Prime Factorization of 54330

Prime Factorization of 54342

Now multiplying the highest exponent prime factors to calculate the LCM of 54330 and 54342.

LCM(54330,54342) = 2¹ × 3² × 5¹ × 1811¹ × 3019¹
LCM(54330,54342) = 492066810