What is the Least Common Multiple of 52009 and 52013?

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 52009 and 52013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52009 and 52013, than apply into the LCM equation.

GCF(52009,52013) = 1
LCM(52009,52013) = ( 52009 × 52013) / 1
LCM(52009,52013) = 2705144117 / 1
LCM(52009,52013) = 2705144117

Least Common Multiple (LCM) of 52009 and 52013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52009 and 52013. First we will calculate the prime factors of 52009 and 52013.

Prime Factorization of 52009

Prime Factorization of 52013

Now multiplying the highest exponent prime factors to calculate the LCM of 52009 and 52013.

LCM(52009,52013) = 52009¹ × 13¹ × 4001¹
LCM(52009,52013) = 2705144117