What is the Least Common Multiple of 78980 and 78997?

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 78980 and 78997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78980 and 78997, than apply into the LCM equation.

GCF(78980,78997) = 1
LCM(78980,78997) = ( 78980 × 78997) / 1
LCM(78980,78997) = 6239183060 / 1
LCM(78980,78997) = 6239183060

Least Common Multiple (LCM) of 78980 and 78997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78980 and 78997. First we will calculate the prime factors of 78980 and 78997.

Prime Factorization of 78980

Prime Factorization of 78997

Now multiplying the highest exponent prime factors to calculate the LCM of 78980 and 78997.

LCM(78980,78997) = 2² × 5¹ × 11¹ × 359¹ × 197¹ × 401¹
LCM(78980,78997) = 6239183060