What is the Least Common Multiple of 77836 and 77856?

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 77836 and 77856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77836 and 77856, than apply into the LCM equation.

GCF(77836,77856) = 4
LCM(77836,77856) = ( 77836 × 77856) / 4
LCM(77836,77856) = 6059999616 / 4
LCM(77836,77856) = 1514999904

Least Common Multiple (LCM) of 77836 and 77856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77836 and 77856. First we will calculate the prime factors of 77836 and 77856.

Prime Factorization of 77836

Prime Factorization of 77856

Now multiplying the highest exponent prime factors to calculate the LCM of 77836 and 77856.

LCM(77836,77856) = 2⁵ × 11¹ × 29¹ × 61¹ × 3¹ × 811¹
LCM(77836,77856) = 1514999904