What is the Least Common Multiple of 41776 and 41784?

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 41776 and 41784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41776 and 41784, than apply into the LCM equation.

GCF(41776,41784) = 8
LCM(41776,41784) = ( 41776 × 41784) / 8
LCM(41776,41784) = 1745568384 / 8
LCM(41776,41784) = 218196048

Least Common Multiple (LCM) of 41776 and 41784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41776 and 41784. First we will calculate the prime factors of 41776 and 41784.

Prime Factorization of 41776

Prime Factorization of 41784

Now multiplying the highest exponent prime factors to calculate the LCM of 41776 and 41784.

LCM(41776,41784) = 2⁴ × 7¹ × 373¹ × 3¹ × 1741¹
LCM(41776,41784) = 218196048