What is the Least Common Multiple of 56346 and 56356?

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 56346 and 56356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56346 and 56356, than apply into the LCM equation.

GCF(56346,56356) = 2
LCM(56346,56356) = ( 56346 × 56356) / 2
LCM(56346,56356) = 3175435176 / 2
LCM(56346,56356) = 1587717588

Least Common Multiple (LCM) of 56346 and 56356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56346 and 56356. First we will calculate the prime factors of 56346 and 56356.

Prime Factorization of 56346

Prime Factorization of 56356

Now multiplying the highest exponent prime factors to calculate the LCM of 56346 and 56356.

LCM(56346,56356) = 2² × 3¹ × 9391¹ × 73¹ × 193¹
LCM(56346,56356) = 1587717588