What is the Least Common Multiple of 65153 and 65171?

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 65153 and 65171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65153 and 65171, than apply into the LCM equation.

GCF(65153,65171) = 1
LCM(65153,65171) = ( 65153 × 65171) / 1
LCM(65153,65171) = 4246086163 / 1
LCM(65153,65171) = 4246086163

Least Common Multiple (LCM) of 65153 and 65171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65153 and 65171. First we will calculate the prime factors of 65153 and 65171.

Prime Factorization of 65153

Prime Factorization of 65171

Now multiplying the highest exponent prime factors to calculate the LCM of 65153 and 65171.

LCM(65153,65171) = 11¹ × 5923¹ × 65171¹
LCM(65153,65171) = 4246086163