What is the Least Common Multiple of 66782 and 66790?

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 66782 and 66790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66782 and 66790, than apply into the LCM equation.

GCF(66782,66790) = 2
LCM(66782,66790) = ( 66782 × 66790) / 2
LCM(66782,66790) = 4460369780 / 2
LCM(66782,66790) = 2230184890

Least Common Multiple (LCM) of 66782 and 66790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66782 and 66790. First we will calculate the prime factors of 66782 and 66790.

Prime Factorization of 66782

Prime Factorization of 66790

Now multiplying the highest exponent prime factors to calculate the LCM of 66782 and 66790.

LCM(66782,66790) = 2¹ × 33391¹ × 5¹ × 6679¹
LCM(66782,66790) = 2230184890