What is the Least Common Multiple of 47278 and 47286?

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 47286 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 47286, than apply into the LCM equation.

GCF(47278,47286) = 2
LCM(47278,47286) = ( 47278 × 47286) / 2
LCM(47278,47286) = 2235587508 / 2
LCM(47278,47286) = 1117793754

Least Common Multiple (LCM) of 47278 and 47286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47278 and 47286. First we will calculate the prime factors of 47278 and 47286.

Prime Factorization of 47278

Prime Factorization of 47286

Now multiplying the highest exponent prime factors to calculate the LCM of 47278 and 47286.

LCM(47278,47286) = 2¹ × 7¹ × 11¹ × 307¹ × 3² × 37¹ × 71¹
LCM(47278,47286) = 1117793754