What is the Least Common Multiple of 63543 and 63547?

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 63543 and 63547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63543 and 63547, than apply into the LCM equation.

GCF(63543,63547) = 1
LCM(63543,63547) = ( 63543 × 63547) / 1
LCM(63543,63547) = 4037967021 / 1
LCM(63543,63547) = 4037967021

Least Common Multiple (LCM) of 63543 and 63547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63543 and 63547. First we will calculate the prime factors of 63543 and 63547.

Prime Factorization of 63543

Prime Factorization of 63547

Now multiplying the highest exponent prime factors to calculate the LCM of 63543 and 63547.

LCM(63543,63547) = 3¹ × 59¹ × 359¹ × 11¹ × 53¹ × 109¹
LCM(63543,63547) = 4037967021