What is the Least Common Multiple of 47278 and 47297?

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 47278 and 47297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47278 and 47297, than apply into the LCM equation.

GCF(47278,47297) = 1
LCM(47278,47297) = ( 47278 × 47297) / 1
LCM(47278,47297) = 2236107566 / 1
LCM(47278,47297) = 2236107566

Least Common Multiple (LCM) of 47278 and 47297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47278 and 47297. First we will calculate the prime factors of 47278 and 47297.

Prime Factorization of 47278

Prime Factorization of 47297

Now multiplying the highest exponent prime factors to calculate the LCM of 47278 and 47297.

LCM(47278,47297) = 2¹ × 7¹ × 11¹ × 307¹ × 47297¹
LCM(47278,47297) = 2236107566