What is the Least Common Multiple of 78959 and 78973?

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 78959 and 78973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78959 and 78973, than apply into the LCM equation.

GCF(78959,78973) = 1
LCM(78959,78973) = ( 78959 × 78973) / 1
LCM(78959,78973) = 6235629107 / 1
LCM(78959,78973) = 6235629107

Least Common Multiple (LCM) of 78959 and 78973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78959 and 78973. First we will calculate the prime factors of 78959 and 78973.

Prime Factorization of 78959

Prime Factorization of 78973

Now multiplying the highest exponent prime factors to calculate the LCM of 78959 and 78973.

LCM(78959,78973) = 23¹ × 3433¹ × 151¹ × 523¹
LCM(78959,78973) = 6235629107