What is the Least Common Multiple of 66384 and 66400?

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 66384 and 66400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66384 and 66400, than apply into the LCM equation.

GCF(66384,66400) = 16
LCM(66384,66400) = ( 66384 × 66400) / 16
LCM(66384,66400) = 4407897600 / 16
LCM(66384,66400) = 275493600

Least Common Multiple (LCM) of 66384 and 66400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66384 and 66400. First we will calculate the prime factors of 66384 and 66400.

Prime Factorization of 66384

Prime Factorization of 66400

Now multiplying the highest exponent prime factors to calculate the LCM of 66384 and 66400.

LCM(66384,66400) = 2⁵ × 3² × 461¹ × 5² × 83¹
LCM(66384,66400) = 275493600