What is the Least Common Multiple of 59526 and 59543?

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 59526 and 59543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59526 and 59543, than apply into the LCM equation.

GCF(59526,59543) = 1
LCM(59526,59543) = ( 59526 × 59543) / 1
LCM(59526,59543) = 3544356618 / 1
LCM(59526,59543) = 3544356618

Least Common Multiple (LCM) of 59526 and 59543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59526 and 59543. First we will calculate the prime factors of 59526 and 59543.

Prime Factorization of 59526

Prime Factorization of 59543

Now multiplying the highest exponent prime factors to calculate the LCM of 59526 and 59543.

LCM(59526,59543) = 2¹ × 3² × 3307¹ × 11¹ × 5413¹
LCM(59526,59543) = 3544356618