What is the Least Common Multiple of 63591 and 63611?

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 63591 and 63611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63591 and 63611, than apply into the LCM equation.

GCF(63591,63611) = 1
LCM(63591,63611) = ( 63591 × 63611) / 1
LCM(63591,63611) = 4045087101 / 1
LCM(63591,63611) = 4045087101

Least Common Multiple (LCM) of 63591 and 63611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63591 and 63611. First we will calculate the prime factors of 63591 and 63611.

Prime Factorization of 63591

Prime Factorization of 63611

Now multiplying the highest exponent prime factors to calculate the LCM of 63591 and 63611.

LCM(63591,63611) = 3¹ × 11¹ × 41¹ × 47¹ × 63611¹
LCM(63591,63611) = 4045087101