What is the Least Common Multiple of 56278 and 56286?

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 56278 and 56286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56278 and 56286, than apply into the LCM equation.

GCF(56278,56286) = 2
LCM(56278,56286) = ( 56278 × 56286) / 2
LCM(56278,56286) = 3167663508 / 2
LCM(56278,56286) = 1583831754

Least Common Multiple (LCM) of 56278 and 56286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56278 and 56286. First we will calculate the prime factors of 56278 and 56286.

Prime Factorization of 56278

Prime Factorization of 56286

Now multiplying the highest exponent prime factors to calculate the LCM of 56278 and 56286.

LCM(56278,56286) = 2¹ × 19¹ × 1481¹ × 3² × 53¹ × 59¹
LCM(56278,56286) = 1583831754