What is the Least Common Multiple of 71230 and 71241?

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 71230 and 71241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71230 and 71241, than apply into the LCM equation.

GCF(71230,71241) = 1
LCM(71230,71241) = ( 71230 × 71241) / 1
LCM(71230,71241) = 5074496430 / 1
LCM(71230,71241) = 5074496430

Least Common Multiple (LCM) of 71230 and 71241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71230 and 71241. First we will calculate the prime factors of 71230 and 71241.

Prime Factorization of 71230

Prime Factorization of 71241

Now multiplying the highest exponent prime factors to calculate the LCM of 71230 and 71241.

LCM(71230,71241) = 2¹ × 5¹ × 17¹ × 419¹ × 3¹ × 23747¹
LCM(71230,71241) = 5074496430