What is the Least Common Multiple of 10766 and 10784?

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 10766 and 10784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10766 and 10784, than apply into the LCM equation.

GCF(10766,10784) = 2
LCM(10766,10784) = ( 10766 × 10784) / 2
LCM(10766,10784) = 116100544 / 2
LCM(10766,10784) = 58050272

Least Common Multiple (LCM) of 10766 and 10784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10766 and 10784. First we will calculate the prime factors of 10766 and 10784.

Prime Factorization of 10766

Prime Factorization of 10784

Now multiplying the highest exponent prime factors to calculate the LCM of 10766 and 10784.

LCM(10766,10784) = 2⁵ × 7¹ × 769¹ × 337¹
LCM(10766,10784) = 58050272