What is the Least Common Multiple of 52983 and 52993?

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 52983 and 52993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52983 and 52993, than apply into the LCM equation.

GCF(52983,52993) = 1
LCM(52983,52993) = ( 52983 × 52993) / 1
LCM(52983,52993) = 2807728119 / 1
LCM(52983,52993) = 2807728119

Least Common Multiple (LCM) of 52983 and 52993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52983 and 52993. First we will calculate the prime factors of 52983 and 52993.

Prime Factorization of 52983

Prime Factorization of 52993

Now multiplying the highest exponent prime factors to calculate the LCM of 52983 and 52993.

LCM(52983,52993) = 3² × 7¹ × 29² × 197¹ × 269¹
LCM(52983,52993) = 2807728119