What is the Least Common Multiple of 56336 and 56342?

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 56336 and 56342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56336 and 56342, than apply into the LCM equation.

GCF(56336,56342) = 2
LCM(56336,56342) = ( 56336 × 56342) / 2
LCM(56336,56342) = 3174082912 / 2
LCM(56336,56342) = 1587041456

Least Common Multiple (LCM) of 56336 and 56342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56336 and 56342. First we will calculate the prime factors of 56336 and 56342.

Prime Factorization of 56336

Prime Factorization of 56342

Now multiplying the highest exponent prime factors to calculate the LCM of 56336 and 56342.

LCM(56336,56342) = 2⁴ × 7¹ × 503¹ × 11¹ × 13¹ × 197¹
LCM(56336,56342) = 1587041456