What is the Least Common Multiple of 47228 and 47242?

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 47228 and 47242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47228 and 47242, than apply into the LCM equation.

GCF(47228,47242) = 2
LCM(47228,47242) = ( 47228 × 47242) / 2
LCM(47228,47242) = 2231145176 / 2
LCM(47228,47242) = 1115572588

Least Common Multiple (LCM) of 47228 and 47242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47228 and 47242. First we will calculate the prime factors of 47228 and 47242.

Prime Factorization of 47228

Prime Factorization of 47242

Now multiplying the highest exponent prime factors to calculate the LCM of 47228 and 47242.

LCM(47228,47242) = 2² × 11807¹ × 13¹ × 23¹ × 79¹
LCM(47228,47242) = 1115572588