What is the Least Common Multiple of 71776 and 71796?

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 71776 and 71796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71776 and 71796, than apply into the LCM equation.

GCF(71776,71796) = 4
LCM(71776,71796) = ( 71776 × 71796) / 4
LCM(71776,71796) = 5153229696 / 4
LCM(71776,71796) = 1288307424

Least Common Multiple (LCM) of 71776 and 71796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71776 and 71796. First we will calculate the prime factors of 71776 and 71796.

Prime Factorization of 71776

Prime Factorization of 71796

Now multiplying the highest exponent prime factors to calculate the LCM of 71776 and 71796.

LCM(71776,71796) = 2⁵ × 2243¹ × 3¹ × 31¹ × 193¹
LCM(71776,71796) = 1288307424