What is the Least Common Multiple of 52596 and 52609?

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 52596 and 52609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52596 and 52609, than apply into the LCM equation.

GCF(52596,52609) = 1
LCM(52596,52609) = ( 52596 × 52609) / 1
LCM(52596,52609) = 2767022964 / 1
LCM(52596,52609) = 2767022964

Least Common Multiple (LCM) of 52596 and 52609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52596 and 52609. First we will calculate the prime factors of 52596 and 52609.

Prime Factorization of 52596

Prime Factorization of 52609

Now multiplying the highest exponent prime factors to calculate the LCM of 52596 and 52609.

LCM(52596,52609) = 2² × 3³ × 487¹ × 52609¹
LCM(52596,52609) = 2767022964