What is the Least Common Multiple of 71461 and 71479?

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 71461 and 71479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71461 and 71479, than apply into the LCM equation.

GCF(71461,71479) = 1
LCM(71461,71479) = ( 71461 × 71479) / 1
LCM(71461,71479) = 5107960819 / 1
LCM(71461,71479) = 5107960819

Least Common Multiple (LCM) of 71461 and 71479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71461 and 71479. First we will calculate the prime factors of 71461 and 71479.

Prime Factorization of 71461

Prime Factorization of 71479

Now multiplying the highest exponent prime factors to calculate the LCM of 71461 and 71479.

LCM(71461,71479) = 13¹ × 23¹ × 239¹ × 71479¹
LCM(71461,71479) = 5107960819