What is the Least Common Multiple of 78991 and 79005?

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 78991 and 79005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78991 and 79005, than apply into the LCM equation.

GCF(78991,79005) = 1
LCM(78991,79005) = ( 78991 × 79005) / 1
LCM(78991,79005) = 6240683955 / 1
LCM(78991,79005) = 6240683955

Least Common Multiple (LCM) of 78991 and 79005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78991 and 79005. First we will calculate the prime factors of 78991 and 79005.

Prime Factorization of 78991

Prime Factorization of 79005

Now multiplying the highest exponent prime factors to calculate the LCM of 78991 and 79005.

LCM(78991,79005) = 11¹ × 43¹ × 167¹ × 3¹ × 5¹ × 23¹ × 229¹
LCM(78991,79005) = 6240683955