What is the Least Common Multiple of 67784 and 67800?

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 67784 and 67800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67784 and 67800, than apply into the LCM equation.

GCF(67784,67800) = 8
LCM(67784,67800) = ( 67784 × 67800) / 8
LCM(67784,67800) = 4595755200 / 8
LCM(67784,67800) = 574469400

Least Common Multiple (LCM) of 67784 and 67800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67784 and 67800. First we will calculate the prime factors of 67784 and 67800.

Prime Factorization of 67784

Prime Factorization of 67800

Now multiplying the highest exponent prime factors to calculate the LCM of 67784 and 67800.

LCM(67784,67800) = 2³ × 37¹ × 229¹ × 3¹ × 5² × 113¹
LCM(67784,67800) = 574469400