What is the Least Common Multiple of 75538 and 75543?

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 75538 and 75543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75538 and 75543, than apply into the LCM equation.

GCF(75538,75543) = 1
LCM(75538,75543) = ( 75538 × 75543) / 1
LCM(75538,75543) = 5706367134 / 1
LCM(75538,75543) = 5706367134

Least Common Multiple (LCM) of 75538 and 75543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75538 and 75543. First we will calculate the prime factors of 75538 and 75543.

Prime Factorization of 75538

Prime Factorization of 75543

Now multiplying the highest exponent prime factors to calculate the LCM of 75538 and 75543.

LCM(75538,75543) = 2¹ × 179¹ × 211¹ × 3¹ × 13² × 149¹
LCM(75538,75543) = 5706367134