What is the Least Common Multiple of 66543 and 66555?

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 66543 and 66555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66543 and 66555, than apply into the LCM equation.

GCF(66543,66555) = 3
LCM(66543,66555) = ( 66543 × 66555) / 3
LCM(66543,66555) = 4428769365 / 3
LCM(66543,66555) = 1476256455

Least Common Multiple (LCM) of 66543 and 66555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66543 and 66555. First we will calculate the prime factors of 66543 and 66555.

Prime Factorization of 66543

Prime Factorization of 66555

Now multiplying the highest exponent prime factors to calculate the LCM of 66543 and 66555.

LCM(66543,66555) = 3³ × 41¹ × 541¹ × 5¹ × 17¹ × 29¹
LCM(66543,66555) = 1476256455