What is the Least Common Multiple of 71808 and 71816?

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 71816 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 71816, than apply into the LCM equation.

GCF(71808,71816) = 8
LCM(71808,71816) = ( 71808 × 71816) / 8
LCM(71808,71816) = 5156963328 / 8
LCM(71808,71816) = 644620416

Least Common Multiple (LCM) of 71808 and 71816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71808 and 71816. First we will calculate the prime factors of 71808 and 71816.

Prime Factorization of 71808

Prime Factorization of 71816

Now multiplying the highest exponent prime factors to calculate the LCM of 71808 and 71816.

LCM(71808,71816) = 2⁷ × 3¹ × 11¹ × 17¹ × 47¹ × 191¹
LCM(71808,71816) = 644620416