What is the Least Common Multiple of 71416 and 71426?

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 71416 and 71426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71416 and 71426, than apply into the LCM equation.

GCF(71416,71426) = 2
LCM(71416,71426) = ( 71416 × 71426) / 2
LCM(71416,71426) = 5100959216 / 2
LCM(71416,71426) = 2550479608

Least Common Multiple (LCM) of 71416 and 71426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71416 and 71426. First we will calculate the prime factors of 71416 and 71426.

Prime Factorization of 71416

Prime Factorization of 71426

Now multiplying the highest exponent prime factors to calculate the LCM of 71416 and 71426.

LCM(71416,71426) = 2³ × 79¹ × 113¹ × 71¹ × 503¹
LCM(71416,71426) = 2550479608