What is the Least Common Multiple of 66785 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 66785 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 66785 and 66805, than apply into the LCM equation.

GCF(66785,66805) = 5
LCM(66785,66805) = ( 66785 × 66805) / 5
LCM(66785,66805) = 4461571925 / 5
LCM(66785,66805) = 892314385

Least Common Multiple (LCM) of 66785 and 66805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66785 and 66805. First we will calculate the prime factors of 66785 and 66805.

Prime Factorization of 66785

Prime Factorization of 66805

Now multiplying the highest exponent prime factors to calculate the LCM of 66785 and 66805.

LCM(66785,66805) = 5¹ × 19² × 37¹ × 31¹ × 431¹
LCM(66785,66805) = 892314385