What is the Least Common Multiple of 47090 and 47103?

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 47090 and 47103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47090 and 47103, than apply into the LCM equation.

GCF(47090,47103) = 1
LCM(47090,47103) = ( 47090 × 47103) / 1
LCM(47090,47103) = 2218080270 / 1
LCM(47090,47103) = 2218080270

Least Common Multiple (LCM) of 47090 and 47103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47090 and 47103. First we will calculate the prime factors of 47090 and 47103.

Prime Factorization of 47090

Prime Factorization of 47103

Now multiplying the highest exponent prime factors to calculate the LCM of 47090 and 47103.

LCM(47090,47103) = 2¹ × 5¹ × 17¹ × 277¹ × 3¹ × 7¹ × 2243¹
LCM(47090,47103) = 2218080270