What is the Least Common Multiple of 66771 and 66786?

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 66771 and 66786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66771 and 66786, than apply into the LCM equation.

GCF(66771,66786) = 3
LCM(66771,66786) = ( 66771 × 66786) / 3
LCM(66771,66786) = 4459368006 / 3
LCM(66771,66786) = 1486456002

Least Common Multiple (LCM) of 66771 and 66786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66771 and 66786. First we will calculate the prime factors of 66771 and 66786.

Prime Factorization of 66771

Prime Factorization of 66786

Now multiplying the highest exponent prime factors to calculate the LCM of 66771 and 66786.

LCM(66771,66786) = 3³ × 2473¹ × 2¹ × 11131¹
LCM(66771,66786) = 1486456002