What is the Least Common Multiple of 36843 and 36861?

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 36843 and 36861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36843 and 36861, than apply into the LCM equation.

GCF(36843,36861) = 3
LCM(36843,36861) = ( 36843 × 36861) / 3
LCM(36843,36861) = 1358069823 / 3
LCM(36843,36861) = 452689941

Least Common Multiple (LCM) of 36843 and 36861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36843 and 36861. First we will calculate the prime factors of 36843 and 36861.

Prime Factorization of 36843

Prime Factorization of 36861

Now multiplying the highest exponent prime factors to calculate the LCM of 36843 and 36861.

LCM(36843,36861) = 3¹ × 12281¹ × 11¹ × 1117¹
LCM(36843,36861) = 452689941