What is the Least Common Multiple of 51079 and 51083?

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 51079 and 51083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51079 and 51083, than apply into the LCM equation.

GCF(51079,51083) = 1
LCM(51079,51083) = ( 51079 × 51083) / 1
LCM(51079,51083) = 2609268557 / 1
LCM(51079,51083) = 2609268557

Least Common Multiple (LCM) of 51079 and 51083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51079 and 51083. First we will calculate the prime factors of 51079 and 51083.

Prime Factorization of 51079

Prime Factorization of 51083

Now multiplying the highest exponent prime factors to calculate the LCM of 51079 and 51083.

LCM(51079,51083) = 7¹ × 7297¹ × 23¹ × 2221¹
LCM(51079,51083) = 2609268557