What is the Least Common Multiple of 56214 and 56228?

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 56214 and 56228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56214 and 56228, than apply into the LCM equation.

GCF(56214,56228) = 2
LCM(56214,56228) = ( 56214 × 56228) / 2
LCM(56214,56228) = 3160800792 / 2
LCM(56214,56228) = 1580400396

Least Common Multiple (LCM) of 56214 and 56228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56214 and 56228. First we will calculate the prime factors of 56214 and 56228.

Prime Factorization of 56214

Prime Factorization of 56228

Now multiplying the highest exponent prime factors to calculate the LCM of 56214 and 56228.

LCM(56214,56228) = 2² × 3⁴ × 347¹ × 14057¹
LCM(56214,56228) = 1580400396