What is the Least Common Multiple of 56338 and 56346?

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 56346 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 56346, than apply into the LCM equation.

GCF(56338,56346) = 2
LCM(56338,56346) = ( 56338 × 56346) / 2
LCM(56338,56346) = 3174420948 / 2
LCM(56338,56346) = 1587210474

Least Common Multiple (LCM) of 56338 and 56346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56338 and 56346. First we will calculate the prime factors of 56338 and 56346.

Prime Factorization of 56338

Prime Factorization of 56346

Now multiplying the highest exponent prime factors to calculate the LCM of 56338 and 56346.

LCM(56338,56346) = 2¹ × 17¹ × 1657¹ × 3¹ × 9391¹
LCM(56338,56346) = 1587210474