What is the Least Common Multiple of 66765 and 66785?

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 66765 and 66785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66765 and 66785, than apply into the LCM equation.

GCF(66765,66785) = 5
LCM(66765,66785) = ( 66765 × 66785) / 5
LCM(66765,66785) = 4458900525 / 5
LCM(66765,66785) = 891780105

Least Common Multiple (LCM) of 66765 and 66785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66765 and 66785. First we will calculate the prime factors of 66765 and 66785.

Prime Factorization of 66765

Prime Factorization of 66785

Now multiplying the highest exponent prime factors to calculate the LCM of 66765 and 66785.

LCM(66765,66785) = 3¹ × 5¹ × 4451¹ × 19² × 37¹
LCM(66765,66785) = 891780105