What is the Least Common Multiple of 78991 and 79001?

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 79001 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 79001, than apply into the LCM equation.

GCF(78991,79001) = 1
LCM(78991,79001) = ( 78991 × 79001) / 1
LCM(78991,79001) = 6240367991 / 1
LCM(78991,79001) = 6240367991

Least Common Multiple (LCM) of 78991 and 79001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78991 and 79001. First we will calculate the prime factors of 78991 and 79001.

Prime Factorization of 78991

Prime Factorization of 79001

Now multiplying the highest exponent prime factors to calculate the LCM of 78991 and 79001.

LCM(78991,79001) = 11¹ × 43¹ × 167¹ × 13¹ × 59¹ × 103¹
LCM(78991,79001) = 6240367991