What is the Least Common Multiple of 77856 and 77870?

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 77856 and 77870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77856 and 77870, than apply into the LCM equation.

GCF(77856,77870) = 2
LCM(77856,77870) = ( 77856 × 77870) / 2
LCM(77856,77870) = 6062646720 / 2
LCM(77856,77870) = 3031323360

Least Common Multiple (LCM) of 77856 and 77870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77856 and 77870. First we will calculate the prime factors of 77856 and 77870.

Prime Factorization of 77856

Prime Factorization of 77870

Now multiplying the highest exponent prime factors to calculate the LCM of 77856 and 77870.

LCM(77856,77870) = 2⁵ × 3¹ × 811¹ × 5¹ × 13¹ × 599¹
LCM(77856,77870) = 3031323360