What is the Least Common Multiple of 66797 and 66805?

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 66797 and 66805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66797 and 66805, than apply into the LCM equation.

GCF(66797,66805) = 1
LCM(66797,66805) = ( 66797 × 66805) / 1
LCM(66797,66805) = 4462373585 / 1
LCM(66797,66805) = 4462373585

Least Common Multiple (LCM) of 66797 and 66805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66797 and 66805. First we will calculate the prime factors of 66797 and 66805.

Prime Factorization of 66797

Prime Factorization of 66805

Now multiplying the highest exponent prime factors to calculate the LCM of 66797 and 66805.

LCM(66797,66805) = 66797¹ × 5¹ × 31¹ × 431¹
LCM(66797,66805) = 4462373585