What is the Least Common Multiple of 47409 and 47422?

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 47409 and 47422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47409 and 47422, than apply into the LCM equation.

GCF(47409,47422) = 1
LCM(47409,47422) = ( 47409 × 47422) / 1
LCM(47409,47422) = 2248229598 / 1
LCM(47409,47422) = 2248229598

Least Common Multiple (LCM) of 47409 and 47422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47409 and 47422. First we will calculate the prime factors of 47409 and 47422.

Prime Factorization of 47409

Prime Factorization of 47422

Now multiplying the highest exponent prime factors to calculate the LCM of 47409 and 47422.

LCM(47409,47422) = 3¹ × 15803¹ × 2¹ × 131¹ × 181¹
LCM(47409,47422) = 2248229598