What is the Least Common Multiple of 40686 and 40698?

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 40686 and 40698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40686 and 40698, than apply into the LCM equation.

GCF(40686,40698) = 6
LCM(40686,40698) = ( 40686 × 40698) / 6
LCM(40686,40698) = 1655838828 / 6
LCM(40686,40698) = 275973138

Least Common Multiple (LCM) of 40686 and 40698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40686 and 40698. First we will calculate the prime factors of 40686 and 40698.

Prime Factorization of 40686

Prime Factorization of 40698

Now multiplying the highest exponent prime factors to calculate the LCM of 40686 and 40698.

LCM(40686,40698) = 2¹ × 3² × 6781¹ × 7¹ × 17¹ × 19¹
LCM(40686,40698) = 275973138