What is the Least Common Multiple of 92784 and 92800?

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 92784 and 92800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92784 and 92800, than apply into the LCM equation.

GCF(92784,92800) = 16
LCM(92784,92800) = ( 92784 × 92800) / 16
LCM(92784,92800) = 8610355200 / 16
LCM(92784,92800) = 538147200

Least Common Multiple (LCM) of 92784 and 92800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92784 and 92800. First we will calculate the prime factors of 92784 and 92800.

Prime Factorization of 92784

Prime Factorization of 92800

Now multiplying the highest exponent prime factors to calculate the LCM of 92784 and 92800.

LCM(92784,92800) = 2⁷ × 3¹ × 1933¹ × 5² × 29¹
LCM(92784,92800) = 538147200