What is the Least Common Multiple of 52005 and 52009?

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 52005 and 52009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52005 and 52009, than apply into the LCM equation.

GCF(52005,52009) = 1
LCM(52005,52009) = ( 52005 × 52009) / 1
LCM(52005,52009) = 2704728045 / 1
LCM(52005,52009) = 2704728045

Least Common Multiple (LCM) of 52005 and 52009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52005 and 52009. First we will calculate the prime factors of 52005 and 52009.

Prime Factorization of 52005

Prime Factorization of 52009

Now multiplying the highest exponent prime factors to calculate the LCM of 52005 and 52009.

LCM(52005,52009) = 3¹ × 5¹ × 3467¹ × 52009¹
LCM(52005,52009) = 2704728045