What is the Least Common Multiple of 66543 and 66559?

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 66559 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 66559, than apply into the LCM equation.

GCF(66543,66559) = 1
LCM(66543,66559) = ( 66543 × 66559) / 1
LCM(66543,66559) = 4429035537 / 1
LCM(66543,66559) = 4429035537

Least Common Multiple (LCM) of 66543 and 66559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66543 and 66559. First we will calculate the prime factors of 66543 and 66559.

Prime Factorization of 66543

Prime Factorization of 66559

Now multiplying the highest exponent prime factors to calculate the LCM of 66543 and 66559.

LCM(66543,66559) = 3¹ × 41¹ × 541¹ × 101¹ × 659¹
LCM(66543,66559) = 4429035537