What is the Least Common Multiple of 51145 and 51163?

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 51145 and 51163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51145 and 51163, than apply into the LCM equation.

GCF(51145,51163) = 1
LCM(51145,51163) = ( 51145 × 51163) / 1
LCM(51145,51163) = 2616731635 / 1
LCM(51145,51163) = 2616731635

Least Common Multiple (LCM) of 51145 and 51163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51145 and 51163. First we will calculate the prime factors of 51145 and 51163.

Prime Factorization of 51145

Prime Factorization of 51163

Now multiplying the highest exponent prime factors to calculate the LCM of 51145 and 51163.

LCM(51145,51163) = 5¹ × 53¹ × 193¹ × 7¹ × 7309¹
LCM(51145,51163) = 2616731635