What is the Least Common Multiple of 75538 and 75558?

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 75558 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 75558, than apply into the LCM equation.

GCF(75538,75558) = 2
LCM(75538,75558) = ( 75538 × 75558) / 2
LCM(75538,75558) = 5707500204 / 2
LCM(75538,75558) = 2853750102

Least Common Multiple (LCM) of 75538 and 75558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75538 and 75558. First we will calculate the prime factors of 75538 and 75558.

Prime Factorization of 75538

Prime Factorization of 75558

Now multiplying the highest exponent prime factors to calculate the LCM of 75538 and 75558.

LCM(75538,75558) = 2¹ × 179¹ × 211¹ × 3¹ × 7² × 257¹
LCM(75538,75558) = 2853750102