What is the Least Common Multiple of 56338 and 56343?

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 56338 and 56343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56338 and 56343, than apply into the LCM equation.

GCF(56338,56343) = 1
LCM(56338,56343) = ( 56338 × 56343) / 1
LCM(56338,56343) = 3174251934 / 1
LCM(56338,56343) = 3174251934

Least Common Multiple (LCM) of 56338 and 56343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56338 and 56343. First we will calculate the prime factors of 56338 and 56343.

Prime Factorization of 56338

Prime Factorization of 56343

Now multiplying the highest exponent prime factors to calculate the LCM of 56338 and 56343.

LCM(56338,56343) = 2¹ × 17¹ × 1657¹ × 3¹ × 7¹ × 2683¹
LCM(56338,56343) = 3174251934