What is the Least Common Multiple of 61165 and 61171?

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 61165 and 61171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61165 and 61171, than apply into the LCM equation.

GCF(61165,61171) = 1
LCM(61165,61171) = ( 61165 × 61171) / 1
LCM(61165,61171) = 3741524215 / 1
LCM(61165,61171) = 3741524215

Least Common Multiple (LCM) of 61165 and 61171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61165 and 61171. First we will calculate the prime factors of 61165 and 61171.

Prime Factorization of 61165

Prime Factorization of 61171

Now multiplying the highest exponent prime factors to calculate the LCM of 61165 and 61171.

LCM(61165,61171) = 5¹ × 13¹ × 941¹ × 11¹ × 67¹ × 83¹
LCM(61165,61171) = 3741524215