What is the Least Common Multiple of 5145 and 5161?

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 5145 and 5161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5145 and 5161, than apply into the LCM equation.

GCF(5145,5161) = 1
LCM(5145,5161) = ( 5145 × 5161) / 1
LCM(5145,5161) = 26553345 / 1
LCM(5145,5161) = 26553345

Least Common Multiple (LCM) of 5145 and 5161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5145 and 5161. First we will calculate the prime factors of 5145 and 5161.

Prime Factorization of 5145

Prime Factorization of 5161

Now multiplying the highest exponent prime factors to calculate the LCM of 5145 and 5161.

LCM(5145,5161) = 3¹ × 5¹ × 7³ × 13¹ × 397¹
LCM(5145,5161) = 26553345