What is the Least Common Multiple of 78989 and 78993?

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 78989 and 78993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78989 and 78993, than apply into the LCM equation.

GCF(78989,78993) = 1
LCM(78989,78993) = ( 78989 × 78993) / 1
LCM(78989,78993) = 6239578077 / 1
LCM(78989,78993) = 6239578077

Least Common Multiple (LCM) of 78989 and 78993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78989 and 78993. First we will calculate the prime factors of 78989 and 78993.

Prime Factorization of 78989

Prime Factorization of 78993

Now multiplying the highest exponent prime factors to calculate the LCM of 78989 and 78993.

LCM(78989,78993) = 78989¹ × 3² × 67¹ × 131¹
LCM(78989,78993) = 6239578077