What is the Least Common Multiple of 66800 and 66814?

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 66800 and 66814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66800 and 66814, than apply into the LCM equation.

GCF(66800,66814) = 2
LCM(66800,66814) = ( 66800 × 66814) / 2
LCM(66800,66814) = 4463175200 / 2
LCM(66800,66814) = 2231587600

Least Common Multiple (LCM) of 66800 and 66814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66800 and 66814. First we will calculate the prime factors of 66800 and 66814.

Prime Factorization of 66800

Prime Factorization of 66814

Now multiplying the highest exponent prime factors to calculate the LCM of 66800 and 66814.

LCM(66800,66814) = 2⁴ × 5² × 167¹ × 11¹ × 3037¹
LCM(66800,66814) = 2231587600