What is the Least Common Multiple of 66539 and 66553?

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 66539 and 66553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66539 and 66553, than apply into the LCM equation.

GCF(66539,66553) = 1
LCM(66539,66553) = ( 66539 × 66553) / 1
LCM(66539,66553) = 4428370067 / 1
LCM(66539,66553) = 4428370067

Least Common Multiple (LCM) of 66539 and 66553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66539 and 66553. First we will calculate the prime factors of 66539 and 66553.

Prime Factorization of 66539

Prime Factorization of 66553

Now multiplying the highest exponent prime factors to calculate the LCM of 66539 and 66553.

LCM(66539,66553) = 11¹ × 23¹ × 263¹ × 66553¹
LCM(66539,66553) = 4428370067