What is the Least Common Multiple of 71114 and 71132?

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 71114 and 71132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71114 and 71132, than apply into the LCM equation.

GCF(71114,71132) = 2
LCM(71114,71132) = ( 71114 × 71132) / 2
LCM(71114,71132) = 5058481048 / 2
LCM(71114,71132) = 2529240524

Least Common Multiple (LCM) of 71114 and 71132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71114 and 71132. First we will calculate the prime factors of 71114 and 71132.

Prime Factorization of 71114

Prime Factorization of 71132

Now multiplying the highest exponent prime factors to calculate the LCM of 71114 and 71132.

LCM(71114,71132) = 2² × 31² × 37¹ × 17783¹
LCM(71114,71132) = 2529240524