What is the Least Common Multiple of 52584 and 52588?

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 52584 and 52588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52584 and 52588, than apply into the LCM equation.

GCF(52584,52588) = 4
LCM(52584,52588) = ( 52584 × 52588) / 4
LCM(52584,52588) = 2765287392 / 4
LCM(52584,52588) = 691321848

Least Common Multiple (LCM) of 52584 and 52588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52584 and 52588. First we will calculate the prime factors of 52584 and 52588.

Prime Factorization of 52584

Prime Factorization of 52588

Now multiplying the highest exponent prime factors to calculate the LCM of 52584 and 52588.

LCM(52584,52588) = 2³ × 3¹ × 7¹ × 313¹ × 13147¹
LCM(52584,52588) = 691321848