What is the Least Common Multiple of 77981 and 78001?

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 77981 and 78001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77981 and 78001, than apply into the LCM equation.

GCF(77981,78001) = 1
LCM(77981,78001) = ( 77981 × 78001) / 1
LCM(77981,78001) = 6082595981 / 1
LCM(77981,78001) = 6082595981

Least Common Multiple (LCM) of 77981 and 78001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77981 and 78001. First we will calculate the prime factors of 77981 and 78001.

Prime Factorization of 77981

Prime Factorization of 78001

Now multiplying the highest exponent prime factors to calculate the LCM of 77981 and 78001.

LCM(77981,78001) = 29¹ × 2689¹ × 7¹ × 11¹ × 1013¹
LCM(77981,78001) = 6082595981