What is the Least Common Multiple of 64596 and 64600?

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 64596 and 64600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64596 and 64600, than apply into the LCM equation.

GCF(64596,64600) = 4
LCM(64596,64600) = ( 64596 × 64600) / 4
LCM(64596,64600) = 4172901600 / 4
LCM(64596,64600) = 1043225400

Least Common Multiple (LCM) of 64596 and 64600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64596 and 64600. First we will calculate the prime factors of 64596 and 64600.

Prime Factorization of 64596

Prime Factorization of 64600

Now multiplying the highest exponent prime factors to calculate the LCM of 64596 and 64600.

LCM(64596,64600) = 2³ × 3¹ × 7¹ × 769¹ × 5² × 17¹ × 19¹
LCM(64596,64600) = 1043225400