What is the Least Common Multiple of 66345 and 66355?

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 66355 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 66355, than apply into the LCM equation.

GCF(66345,66355) = 5
LCM(66345,66355) = ( 66345 × 66355) / 5
LCM(66345,66355) = 4402322475 / 5
LCM(66345,66355) = 880464495

Least Common Multiple (LCM) of 66345 and 66355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66345 and 66355. First we will calculate the prime factors of 66345 and 66355.

Prime Factorization of 66345

Prime Factorization of 66355

Now multiplying the highest exponent prime factors to calculate the LCM of 66345 and 66355.

LCM(66345,66355) = 3¹ × 5¹ × 4423¹ × 23¹ × 577¹
LCM(66345,66355) = 880464495