What is the Least Common Multiple of 71796 and 71808?

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 71796 and 71808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71796 and 71808, than apply into the LCM equation.

GCF(71796,71808) = 12
LCM(71796,71808) = ( 71796 × 71808) / 12
LCM(71796,71808) = 5155527168 / 12
LCM(71796,71808) = 429627264

Least Common Multiple (LCM) of 71796 and 71808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71796 and 71808. First we will calculate the prime factors of 71796 and 71808.

Prime Factorization of 71796

Prime Factorization of 71808

Now multiplying the highest exponent prime factors to calculate the LCM of 71796 and 71808.

LCM(71796,71808) = 2⁷ × 3¹ × 31¹ × 193¹ × 11¹ × 17¹
LCM(71796,71808) = 429627264