What is the Least Common Multiple of 65108 and 65122?

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 65108 and 65122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65108 and 65122, than apply into the LCM equation.

GCF(65108,65122) = 2
LCM(65108,65122) = ( 65108 × 65122) / 2
LCM(65108,65122) = 4239963176 / 2
LCM(65108,65122) = 2119981588

Least Common Multiple (LCM) of 65108 and 65122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65108 and 65122. First we will calculate the prime factors of 65108 and 65122.

Prime Factorization of 65108

Prime Factorization of 65122

Now multiplying the highest exponent prime factors to calculate the LCM of 65108 and 65122.

LCM(65108,65122) = 2² × 41¹ × 397¹ × 32561¹
LCM(65108,65122) = 2119981588