What is the Least Common Multiple of 77986 and 78005?

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 77986 and 78005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77986 and 78005, than apply into the LCM equation.

GCF(77986,78005) = 1
LCM(77986,78005) = ( 77986 × 78005) / 1
LCM(77986,78005) = 6083297930 / 1
LCM(77986,78005) = 6083297930

Least Common Multiple (LCM) of 77986 and 78005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77986 and 78005. First we will calculate the prime factors of 77986 and 78005.

Prime Factorization of 77986

Prime Factorization of 78005

Now multiplying the highest exponent prime factors to calculate the LCM of 77986 and 78005.

LCM(77986,78005) = 2¹ × 38993¹ × 5¹ × 15601¹
LCM(77986,78005) = 6083297930