What is the Least Common Multiple of 71100 and 71114?

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 71100 and 71114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71100 and 71114, than apply into the LCM equation.

GCF(71100,71114) = 2
LCM(71100,71114) = ( 71100 × 71114) / 2
LCM(71100,71114) = 5056205400 / 2
LCM(71100,71114) = 2528102700

Least Common Multiple (LCM) of 71100 and 71114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71100 and 71114. First we will calculate the prime factors of 71100 and 71114.

Prime Factorization of 71100

Prime Factorization of 71114

Now multiplying the highest exponent prime factors to calculate the LCM of 71100 and 71114.

LCM(71100,71114) = 2² × 3² × 5² × 79¹ × 31² × 37¹
LCM(71100,71114) = 2528102700