What is the Least Common Multiple of 71112 and 71127?

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 71112 and 71127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71112 and 71127, than apply into the LCM equation.

GCF(71112,71127) = 3
LCM(71112,71127) = ( 71112 × 71127) / 3
LCM(71112,71127) = 5057983224 / 3
LCM(71112,71127) = 1685994408

Least Common Multiple (LCM) of 71112 and 71127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71112 and 71127. First we will calculate the prime factors of 71112 and 71127.

Prime Factorization of 71112

Prime Factorization of 71127

Now multiplying the highest exponent prime factors to calculate the LCM of 71112 and 71127.

LCM(71112,71127) = 2³ × 3² × 2963¹ × 7¹ × 1129¹
LCM(71112,71127) = 1685994408