What is the Least Common Multiple of 41728 and 41740?

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 41728 and 41740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41728 and 41740, than apply into the LCM equation.

GCF(41728,41740) = 4
LCM(41728,41740) = ( 41728 × 41740) / 4
LCM(41728,41740) = 1741726720 / 4
LCM(41728,41740) = 435431680

Least Common Multiple (LCM) of 41728 and 41740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41728 and 41740. First we will calculate the prime factors of 41728 and 41740.

Prime Factorization of 41728

Prime Factorization of 41740

Now multiplying the highest exponent prime factors to calculate the LCM of 41728 and 41740.

LCM(41728,41740) = 2⁸ × 163¹ × 5¹ × 2087¹
LCM(41728,41740) = 435431680