What is the Least Common Multiple of 65538 and 65558?

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 65538 and 65558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65538 and 65558, than apply into the LCM equation.

GCF(65538,65558) = 2
LCM(65538,65558) = ( 65538 × 65558) / 2
LCM(65538,65558) = 4296540204 / 2
LCM(65538,65558) = 2148270102

Least Common Multiple (LCM) of 65538 and 65558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65538 and 65558. First we will calculate the prime factors of 65538 and 65558.

Prime Factorization of 65538

Prime Factorization of 65558

Now multiplying the highest exponent prime factors to calculate the LCM of 65538 and 65558.

LCM(65538,65558) = 2¹ × 3² × 11¹ × 331¹ × 32779¹
LCM(65538,65558) = 2148270102