What is the Least Common Multiple of 52979 and 52997?

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 52979 and 52997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52979 and 52997, than apply into the LCM equation.

GCF(52979,52997) = 1
LCM(52979,52997) = ( 52979 × 52997) / 1
LCM(52979,52997) = 2807728063 / 1
LCM(52979,52997) = 2807728063

Least Common Multiple (LCM) of 52979 and 52997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52979 and 52997. First we will calculate the prime factors of 52979 and 52997.

Prime Factorization of 52979

Prime Factorization of 52997

Now multiplying the highest exponent prime factors to calculate the LCM of 52979 and 52997.

LCM(52979,52997) = 31¹ × 1709¹ × 7¹ × 67¹ × 113¹
LCM(52979,52997) = 2807728063