What is the Least Common Multiple of 7133 and 7139?

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 7133 and 7139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7133 and 7139, than apply into the LCM equation.

GCF(7133,7139) = 1
LCM(7133,7139) = ( 7133 × 7139) / 1
LCM(7133,7139) = 50922487 / 1
LCM(7133,7139) = 50922487

Least Common Multiple (LCM) of 7133 and 7139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7133 and 7139. First we will calculate the prime factors of 7133 and 7139.

Prime Factorization of 7133

Prime Factorization of 7139

Now multiplying the highest exponent prime factors to calculate the LCM of 7133 and 7139.

LCM(7133,7139) = 7¹ × 1019¹ × 11² × 59¹
LCM(7133,7139) = 50922487