What is the Least Common Multiple of 71052 and 71069?

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 71052 and 71069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71052 and 71069, than apply into the LCM equation.

GCF(71052,71069) = 1
LCM(71052,71069) = ( 71052 × 71069) / 1
LCM(71052,71069) = 5049594588 / 1
LCM(71052,71069) = 5049594588

Least Common Multiple (LCM) of 71052 and 71069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71052 and 71069. First we will calculate the prime factors of 71052 and 71069.

Prime Factorization of 71052

Prime Factorization of 71069

Now multiplying the highest exponent prime factors to calculate the LCM of 71052 and 71069.

LCM(71052,71069) = 2² × 3¹ × 31¹ × 191¹ × 71069¹
LCM(71052,71069) = 5049594588