What is the Least Common Multiple of 71128 and 71146?

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 71128 and 71146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71128 and 71146, than apply into the LCM equation.

GCF(71128,71146) = 2
LCM(71128,71146) = ( 71128 × 71146) / 2
LCM(71128,71146) = 5060472688 / 2
LCM(71128,71146) = 2530236344

Least Common Multiple (LCM) of 71128 and 71146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71128 and 71146. First we will calculate the prime factors of 71128 and 71146.

Prime Factorization of 71128

Prime Factorization of 71146

Now multiplying the highest exponent prime factors to calculate the LCM of 71128 and 71146.

LCM(71128,71146) = 2³ × 17¹ × 523¹ × 35573¹
LCM(71128,71146) = 2530236344