What is the Least Common Multiple of 71257 and 71269?

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 71257 and 71269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71257 and 71269, than apply into the LCM equation.

GCF(71257,71269) = 1
LCM(71257,71269) = ( 71257 × 71269) / 1
LCM(71257,71269) = 5078415133 / 1
LCM(71257,71269) = 5078415133

Least Common Multiple (LCM) of 71257 and 71269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71257 and 71269. First we will calculate the prime factors of 71257 and 71269.

Prime Factorization of 71257

Prime Factorization of 71269

Now multiplying the highest exponent prime factors to calculate the LCM of 71257 and 71269.

LCM(71257,71269) = 71257¹ × 11² × 19¹ × 31¹
LCM(71257,71269) = 5078415133