What is the Least Common Multiple of 65800 and 65814?

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 65800 and 65814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65800 and 65814, than apply into the LCM equation.

GCF(65800,65814) = 14
LCM(65800,65814) = ( 65800 × 65814) / 14
LCM(65800,65814) = 4330561200 / 14
LCM(65800,65814) = 309325800

Least Common Multiple (LCM) of 65800 and 65814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65800 and 65814. First we will calculate the prime factors of 65800 and 65814.

Prime Factorization of 65800

Prime Factorization of 65814

Now multiplying the highest exponent prime factors to calculate the LCM of 65800 and 65814.

LCM(65800,65814) = 2³ × 5² × 7¹ × 47¹ × 3¹ × 1567¹
LCM(65800,65814) = 309325800