What is the Least Common Multiple of 65844 and 65851?

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 65844 and 65851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65844 and 65851, than apply into the LCM equation.

GCF(65844,65851) = 1
LCM(65844,65851) = ( 65844 × 65851) / 1
LCM(65844,65851) = 4335893244 / 1
LCM(65844,65851) = 4335893244

Least Common Multiple (LCM) of 65844 and 65851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65844 and 65851. First we will calculate the prime factors of 65844 and 65851.

Prime Factorization of 65844

Prime Factorization of 65851

Now multiplying the highest exponent prime factors to calculate the LCM of 65844 and 65851.

LCM(65844,65851) = 2² × 3² × 31¹ × 59¹ × 65851¹
LCM(65844,65851) = 4335893244