What is the Least Common Multiple of 65814 and 65830?

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 65830 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 65830, than apply into the LCM equation.

GCF(65814,65830) = 2
LCM(65814,65830) = ( 65814 × 65830) / 2
LCM(65814,65830) = 4332535620 / 2
LCM(65814,65830) = 2166267810

Least Common Multiple (LCM) of 65814 and 65830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65814 and 65830. First we will calculate the prime factors of 65814 and 65830.

Prime Factorization of 65814

Prime Factorization of 65830

Now multiplying the highest exponent prime factors to calculate the LCM of 65814 and 65830.

LCM(65814,65830) = 2¹ × 3¹ × 7¹ × 1567¹ × 5¹ × 29¹ × 227¹
LCM(65814,65830) = 2166267810