What is the Least Common Multiple of 56205 and 56214?

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 56205 and 56214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56205 and 56214, than apply into the LCM equation.

GCF(56205,56214) = 9
LCM(56205,56214) = ( 56205 × 56214) / 9
LCM(56205,56214) = 3159507870 / 9
LCM(56205,56214) = 351056430

Least Common Multiple (LCM) of 56205 and 56214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56205 and 56214. First we will calculate the prime factors of 56205 and 56214.

Prime Factorization of 56205

Prime Factorization of 56214

Now multiplying the highest exponent prime factors to calculate the LCM of 56205 and 56214.

LCM(56205,56214) = 3⁴ × 5¹ × 1249¹ × 2¹ × 347¹
LCM(56205,56214) = 351056430