What is the Least Common Multiple of 47083 and 47090?

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 47083 and 47090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47083 and 47090, than apply into the LCM equation.

GCF(47083,47090) = 1
LCM(47083,47090) = ( 47083 × 47090) / 1
LCM(47083,47090) = 2217138470 / 1
LCM(47083,47090) = 2217138470

Least Common Multiple (LCM) of 47083 and 47090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47083 and 47090. First we will calculate the prime factors of 47083 and 47090.

Prime Factorization of 47083

Prime Factorization of 47090

Now multiplying the highest exponent prime factors to calculate the LCM of 47083 and 47090.

LCM(47083,47090) = 197¹ × 239¹ × 2¹ × 5¹ × 17¹ × 277¹
LCM(47083,47090) = 2217138470