What is the Least Common Multiple of 53165 and 53171?

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 53171 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 53171, than apply into the LCM equation.

GCF(53165,53171) = 1
LCM(53165,53171) = ( 53165 × 53171) / 1
LCM(53165,53171) = 2826836215 / 1
LCM(53165,53171) = 2826836215

Least Common Multiple (LCM) of 53165 and 53171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53165 and 53171. First we will calculate the prime factors of 53165 and 53171.

Prime Factorization of 53165

Prime Factorization of 53171

Now multiplying the highest exponent prime factors to calculate the LCM of 53165 and 53171.

LCM(53165,53171) = 5¹ × 7³ × 31¹ × 53171¹
LCM(53165,53171) = 2826836215