What is the Least Common Multiple of 36810 and 36814?

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 36810 and 36814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36810 and 36814, than apply into the LCM equation.

GCF(36810,36814) = 2
LCM(36810,36814) = ( 36810 × 36814) / 2
LCM(36810,36814) = 1355123340 / 2
LCM(36810,36814) = 677561670

Least Common Multiple (LCM) of 36810 and 36814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36810 and 36814. First we will calculate the prime factors of 36810 and 36814.

Prime Factorization of 36810

Prime Factorization of 36814

Now multiplying the highest exponent prime factors to calculate the LCM of 36810 and 36814.

LCM(36810,36814) = 2¹ × 3² × 5¹ × 409¹ × 79¹ × 233¹
LCM(36810,36814) = 677561670