What is the Least Common Multiple of 71814 and 71829?

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 71814 and 71829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71814 and 71829, than apply into the LCM equation.

GCF(71814,71829) = 3
LCM(71814,71829) = ( 71814 × 71829) / 3
LCM(71814,71829) = 5158327806 / 3
LCM(71814,71829) = 1719442602

Least Common Multiple (LCM) of 71814 and 71829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71814 and 71829. First we will calculate the prime factors of 71814 and 71829.

Prime Factorization of 71814

Prime Factorization of 71829

Now multiplying the highest exponent prime factors to calculate the LCM of 71814 and 71829.

LCM(71814,71829) = 2¹ × 3² × 11969¹ × 23¹ × 347¹
LCM(71814,71829) = 1719442602