What is the Least Common Multiple of 78943 and 78961?

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 78943 and 78961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78943 and 78961, than apply into the LCM equation.

GCF(78943,78961) = 1
LCM(78943,78961) = ( 78943 × 78961) / 1
LCM(78943,78961) = 6233418223 / 1
LCM(78943,78961) = 6233418223

Least Common Multiple (LCM) of 78943 and 78961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78943 and 78961. First we will calculate the prime factors of 78943 and 78961.

Prime Factorization of 78943

Prime Factorization of 78961

Now multiplying the highest exponent prime factors to calculate the LCM of 78943 and 78961.

LCM(78943,78961) = 89¹ × 887¹ × 281²
LCM(78943,78961) = 6233418223