What is the Least Common Multiple of 65468 and 65482?

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 65468 and 65482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65468 and 65482, than apply into the LCM equation.

GCF(65468,65482) = 2
LCM(65468,65482) = ( 65468 × 65482) / 2
LCM(65468,65482) = 4286975576 / 2
LCM(65468,65482) = 2143487788

Least Common Multiple (LCM) of 65468 and 65482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65468 and 65482. First we will calculate the prime factors of 65468 and 65482.

Prime Factorization of 65468

Prime Factorization of 65482

Now multiplying the highest exponent prime factors to calculate the LCM of 65468 and 65482.

LCM(65468,65482) = 2² × 13¹ × 1259¹ × 29¹ × 1129¹
LCM(65468,65482) = 2143487788