What is the Least Common Multiple of 41792 and 41800?

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 41792 and 41800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41792 and 41800, than apply into the LCM equation.

GCF(41792,41800) = 8
LCM(41792,41800) = ( 41792 × 41800) / 8
LCM(41792,41800) = 1746905600 / 8
LCM(41792,41800) = 218363200

Least Common Multiple (LCM) of 41792 and 41800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41792 and 41800. First we will calculate the prime factors of 41792 and 41800.

Prime Factorization of 41792

Prime Factorization of 41800

Now multiplying the highest exponent prime factors to calculate the LCM of 41792 and 41800.

LCM(41792,41800) = 2⁶ × 653¹ × 5² × 11¹ × 19¹
LCM(41792,41800) = 218363200