What is the Least Common Multiple of 47304 and 47322?

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 47304 and 47322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47304 and 47322, than apply into the LCM equation.

GCF(47304,47322) = 18
LCM(47304,47322) = ( 47304 × 47322) / 18
LCM(47304,47322) = 2238519888 / 18
LCM(47304,47322) = 124362216

Least Common Multiple (LCM) of 47304 and 47322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47304 and 47322. First we will calculate the prime factors of 47304 and 47322.

Prime Factorization of 47304

Prime Factorization of 47322

Now multiplying the highest exponent prime factors to calculate the LCM of 47304 and 47322.

LCM(47304,47322) = 2³ × 3⁴ × 73¹ × 11¹ × 239¹
LCM(47304,47322) = 124362216