What is the Least Common Multiple of 77997 and 78008?

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 77997 and 78008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77997 and 78008, than apply into the LCM equation.

GCF(77997,78008) = 1
LCM(77997,78008) = ( 77997 × 78008) / 1
LCM(77997,78008) = 6084389976 / 1
LCM(77997,78008) = 6084389976

Least Common Multiple (LCM) of 77997 and 78008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77997 and 78008. First we will calculate the prime factors of 77997 and 78008.

Prime Factorization of 77997

Prime Factorization of 78008

Now multiplying the highest exponent prime factors to calculate the LCM of 77997 and 78008.

LCM(77997,78008) = 3¹ × 25999¹ × 2³ × 7² × 199¹
LCM(77997,78008) = 6084389976