What is the Least Common Multiple of 65814 and 65827?

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 65814 and 65827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65814 and 65827, than apply into the LCM equation.

GCF(65814,65827) = 1
LCM(65814,65827) = ( 65814 × 65827) / 1
LCM(65814,65827) = 4332338178 / 1
LCM(65814,65827) = 4332338178

Least Common Multiple (LCM) of 65814 and 65827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65814 and 65827. First we will calculate the prime factors of 65814 and 65827.

Prime Factorization of 65814

Prime Factorization of 65827

Now multiplying the highest exponent prime factors to calculate the LCM of 65814 and 65827.

LCM(65814,65827) = 2¹ × 3¹ × 7¹ × 1567¹ × 65827¹
LCM(65814,65827) = 4332338178