What is the Least Common Multiple of 65228 and 65234?

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 65228 and 65234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65228 and 65234, than apply into the LCM equation.

GCF(65228,65234) = 2
LCM(65228,65234) = ( 65228 × 65234) / 2
LCM(65228,65234) = 4255083352 / 2
LCM(65228,65234) = 2127541676

Least Common Multiple (LCM) of 65228 and 65234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65228 and 65234. First we will calculate the prime factors of 65228 and 65234.

Prime Factorization of 65228

Prime Factorization of 65234

Now multiplying the highest exponent prime factors to calculate the LCM of 65228 and 65234.

LCM(65228,65234) = 2² × 23¹ × 709¹ × 13² × 193¹
LCM(65228,65234) = 2127541676