What is the Least Common Multiple of 40845 and 40860?

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 40845 and 40860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40845 and 40860, than apply into the LCM equation.

GCF(40845,40860) = 15
LCM(40845,40860) = ( 40845 × 40860) / 15
LCM(40845,40860) = 1668926700 / 15
LCM(40845,40860) = 111261780

Least Common Multiple (LCM) of 40845 and 40860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40845 and 40860. First we will calculate the prime factors of 40845 and 40860.

Prime Factorization of 40845

Prime Factorization of 40860

Now multiplying the highest exponent prime factors to calculate the LCM of 40845 and 40860.

LCM(40845,40860) = 3² × 5¹ × 7¹ × 389¹ × 2² × 227¹
LCM(40845,40860) = 111261780