What is the Least Common Multiple of 53149 and 53163?

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 53149 and 53163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53149 and 53163, than apply into the LCM equation.

GCF(53149,53163) = 1
LCM(53149,53163) = ( 53149 × 53163) / 1
LCM(53149,53163) = 2825560287 / 1
LCM(53149,53163) = 2825560287

Least Common Multiple (LCM) of 53149 and 53163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53149 and 53163. First we will calculate the prime factors of 53149 and 53163.

Prime Factorization of 53149

Prime Factorization of 53163

Now multiplying the highest exponent prime factors to calculate the LCM of 53149 and 53163.

LCM(53149,53163) = 53149¹ × 3³ × 11¹ × 179¹
LCM(53149,53163) = 2825560287