What is the Least Common Multiple of 53643 and 53663?

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 53643 and 53663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53643 and 53663, than apply into the LCM equation.

GCF(53643,53663) = 1
LCM(53643,53663) = ( 53643 × 53663) / 1
LCM(53643,53663) = 2878644309 / 1
LCM(53643,53663) = 2878644309

Least Common Multiple (LCM) of 53643 and 53663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53643 and 53663. First we will calculate the prime factors of 53643 and 53663.

Prime Factorization of 53643

Prime Factorization of 53663

Now multiplying the highest exponent prime factors to calculate the LCM of 53643 and 53663.

LCM(53643,53663) = 3¹ × 17881¹ × 103¹ × 521¹
LCM(53643,53663) = 2878644309