What is the Least Common Multiple of 7119 and 7133?

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 7119 and 7133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7119 and 7133, than apply into the LCM equation.

GCF(7119,7133) = 7
LCM(7119,7133) = ( 7119 × 7133) / 7
LCM(7119,7133) = 50779827 / 7
LCM(7119,7133) = 7254261

Least Common Multiple (LCM) of 7119 and 7133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7119 and 7133. First we will calculate the prime factors of 7119 and 7133.

Prime Factorization of 7119

Prime Factorization of 7133

Now multiplying the highest exponent prime factors to calculate the LCM of 7119 and 7133.

LCM(7119,7133) = 3² × 7¹ × 113¹ × 1019¹
LCM(7119,7133) = 7254261