What is the Least Common Multiple of 71404 and 71416?

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 71404 and 71416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71404 and 71416, than apply into the LCM equation.

GCF(71404,71416) = 4
LCM(71404,71416) = ( 71404 × 71416) / 4
LCM(71404,71416) = 5099388064 / 4
LCM(71404,71416) = 1274847016

Least Common Multiple (LCM) of 71404 and 71416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71404 and 71416. First we will calculate the prime factors of 71404 and 71416.

Prime Factorization of 71404

Prime Factorization of 71416

Now multiplying the highest exponent prime factors to calculate the LCM of 71404 and 71416.

LCM(71404,71416) = 2³ × 17851¹ × 79¹ × 113¹
LCM(71404,71416) = 1274847016