What is the Least Common Multiple of 41760 and 41764?

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 41760 and 41764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41760 and 41764, than apply into the LCM equation.

GCF(41760,41764) = 4
LCM(41760,41764) = ( 41760 × 41764) / 4
LCM(41760,41764) = 1744064640 / 4
LCM(41760,41764) = 436016160

Least Common Multiple (LCM) of 41760 and 41764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41760 and 41764. First we will calculate the prime factors of 41760 and 41764.

Prime Factorization of 41760

Prime Factorization of 41764

Now multiplying the highest exponent prime factors to calculate the LCM of 41760 and 41764.

LCM(41760,41764) = 2⁵ × 3² × 5¹ × 29¹ × 53¹ × 197¹
LCM(41760,41764) = 436016160