What is the Least Common Multiple of 71119 and 71133?

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 71119 and 71133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71119 and 71133, than apply into the LCM equation.

GCF(71119,71133) = 1
LCM(71119,71133) = ( 71119 × 71133) / 1
LCM(71119,71133) = 5058907827 / 1
LCM(71119,71133) = 5058907827

Least Common Multiple (LCM) of 71119 and 71133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71119 and 71133. First we will calculate the prime factors of 71119 and 71133.

Prime Factorization of 71119

Prime Factorization of 71133

Now multiplying the highest exponent prime factors to calculate the LCM of 71119 and 71133.

LCM(71119,71133) = 71119¹ × 3¹ × 131¹ × 181¹
LCM(71119,71133) = 5058907827