What is the Least Common Multiple of 77989 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 77989 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 77989 and 78005, than apply into the LCM equation.

GCF(77989,78005) = 1
LCM(77989,78005) = ( 77989 × 78005) / 1
LCM(77989,78005) = 6083531945 / 1
LCM(77989,78005) = 6083531945

Least Common Multiple (LCM) of 77989 and 78005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77989 and 78005. First we will calculate the prime factors of 77989 and 78005.

Prime Factorization of 77989

Prime Factorization of 78005

Now multiplying the highest exponent prime factors to calculate the LCM of 77989 and 78005.

LCM(77989,78005) = 167¹ × 467¹ × 5¹ × 15601¹
LCM(77989,78005) = 6083531945