What is the Least Common Multiple of 36809 and 36813?

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 36809 and 36813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36809 and 36813, than apply into the LCM equation.

GCF(36809,36813) = 1
LCM(36809,36813) = ( 36809 × 36813) / 1
LCM(36809,36813) = 1355049717 / 1
LCM(36809,36813) = 1355049717

Least Common Multiple (LCM) of 36809 and 36813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36809 and 36813. First we will calculate the prime factors of 36809 and 36813.

Prime Factorization of 36809

Prime Factorization of 36813

Now multiplying the highest exponent prime factors to calculate the LCM of 36809 and 36813.

LCM(36809,36813) = 36809¹ × 3¹ × 7¹ × 1753¹
LCM(36809,36813) = 1355049717