What is the Least Common Multiple of 66784 and 66800?

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 66784 and 66800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66784 and 66800, than apply into the LCM equation.

GCF(66784,66800) = 16
LCM(66784,66800) = ( 66784 × 66800) / 16
LCM(66784,66800) = 4461171200 / 16
LCM(66784,66800) = 278823200

Least Common Multiple (LCM) of 66784 and 66800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66784 and 66800. First we will calculate the prime factors of 66784 and 66800.

Prime Factorization of 66784

Prime Factorization of 66800

Now multiplying the highest exponent prime factors to calculate the LCM of 66784 and 66800.

LCM(66784,66800) = 2⁵ × 2087¹ × 5² × 167¹
LCM(66784,66800) = 278823200