What is the Least Common Multiple of 65163 and 65169?

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 65163 and 65169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65163 and 65169, than apply into the LCM equation.

GCF(65163,65169) = 3
LCM(65163,65169) = ( 65163 × 65169) / 3
LCM(65163,65169) = 4246607547 / 3
LCM(65163,65169) = 1415535849

Least Common Multiple (LCM) of 65163 and 65169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65163 and 65169. First we will calculate the prime factors of 65163 and 65169.

Prime Factorization of 65163

Prime Factorization of 65169

Now multiplying the highest exponent prime factors to calculate the LCM of 65163 and 65169.

LCM(65163,65169) = 3² × 7¹ × 29¹ × 107¹ × 13¹ × 557¹
LCM(65163,65169) = 1415535849