What is the Least Common Multiple of 53165 and 53174?

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 53165 and 53174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53165 and 53174, than apply into the LCM equation.

GCF(53165,53174) = 1
LCM(53165,53174) = ( 53165 × 53174) / 1
LCM(53165,53174) = 2826995710 / 1
LCM(53165,53174) = 2826995710

Least Common Multiple (LCM) of 53165 and 53174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53165 and 53174. First we will calculate the prime factors of 53165 and 53174.

Prime Factorization of 53165

Prime Factorization of 53174

Now multiplying the highest exponent prime factors to calculate the LCM of 53165 and 53174.

LCM(53165,53174) = 5¹ × 7³ × 31¹ × 2¹ × 11¹ × 2417¹
LCM(53165,53174) = 2826995710