What is the Least Common Multiple of 66345 and 66356?

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 66345 and 66356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66345 and 66356, than apply into the LCM equation.

GCF(66345,66356) = 1
LCM(66345,66356) = ( 66345 × 66356) / 1
LCM(66345,66356) = 4402388820 / 1
LCM(66345,66356) = 4402388820

Least Common Multiple (LCM) of 66345 and 66356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66345 and 66356. First we will calculate the prime factors of 66345 and 66356.

Prime Factorization of 66345

Prime Factorization of 66356

Now multiplying the highest exponent prime factors to calculate the LCM of 66345 and 66356.

LCM(66345,66356) = 3¹ × 5¹ × 4423¹ × 2² × 53¹ × 313¹
LCM(66345,66356) = 4402388820