What is the Least Common Multiple of 71069 and 71079?

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 71069 and 71079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71069 and 71079, than apply into the LCM equation.

GCF(71069,71079) = 1
LCM(71069,71079) = ( 71069 × 71079) / 1
LCM(71069,71079) = 5051513451 / 1
LCM(71069,71079) = 5051513451

Least Common Multiple (LCM) of 71069 and 71079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71069 and 71079. First we will calculate the prime factors of 71069 and 71079.

Prime Factorization of 71069

Prime Factorization of 71079

Now multiplying the highest exponent prime factors to calculate the LCM of 71069 and 71079.

LCM(71069,71079) = 71069¹ × 3¹ × 19¹ × 29¹ × 43¹
LCM(71069,71079) = 5051513451