What is the Least Common Multiple of 56340 and 56355?

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 56340 and 56355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56340 and 56355, than apply into the LCM equation.

GCF(56340,56355) = 15
LCM(56340,56355) = ( 56340 × 56355) / 15
LCM(56340,56355) = 3175040700 / 15
LCM(56340,56355) = 211669380

Least Common Multiple (LCM) of 56340 and 56355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56340 and 56355. First we will calculate the prime factors of 56340 and 56355.

Prime Factorization of 56340

Prime Factorization of 56355

Now multiplying the highest exponent prime factors to calculate the LCM of 56340 and 56355.

LCM(56340,56355) = 2² × 3² × 5¹ × 313¹ × 13¹ × 17²
LCM(56340,56355) = 211669380