What is the Least Common Multiple of 71808 and 71814?

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 71808 and 71814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71808 and 71814, than apply into the LCM equation.

GCF(71808,71814) = 6
LCM(71808,71814) = ( 71808 × 71814) / 6
LCM(71808,71814) = 5156819712 / 6
LCM(71808,71814) = 859469952

Least Common Multiple (LCM) of 71808 and 71814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71808 and 71814. First we will calculate the prime factors of 71808 and 71814.

Prime Factorization of 71808

Prime Factorization of 71814

Now multiplying the highest exponent prime factors to calculate the LCM of 71808 and 71814.

LCM(71808,71814) = 2⁷ × 3¹ × 11¹ × 17¹ × 11969¹
LCM(71808,71814) = 859469952