What is the Least Common Multiple of 65814 and 65818?

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 65818 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 65818, than apply into the LCM equation.

GCF(65814,65818) = 2
LCM(65814,65818) = ( 65814 × 65818) / 2
LCM(65814,65818) = 4331745852 / 2
LCM(65814,65818) = 2165872926

Least Common Multiple (LCM) of 65814 and 65818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65814 and 65818. First we will calculate the prime factors of 65814 and 65818.

Prime Factorization of 65814

Prime Factorization of 65818

Now multiplying the highest exponent prime factors to calculate the LCM of 65814 and 65818.

LCM(65814,65818) = 2¹ × 3¹ × 7¹ × 1567¹ × 32909¹
LCM(65814,65818) = 2165872926