What is the Least Common Multiple of 41680 and 41688?

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 41680 and 41688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41680 and 41688, than apply into the LCM equation.

GCF(41680,41688) = 8
LCM(41680,41688) = ( 41680 × 41688) / 8
LCM(41680,41688) = 1737555840 / 8
LCM(41680,41688) = 217194480

Least Common Multiple (LCM) of 41680 and 41688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41680 and 41688. First we will calculate the prime factors of 41680 and 41688.

Prime Factorization of 41680

Prime Factorization of 41688

Now multiplying the highest exponent prime factors to calculate the LCM of 41680 and 41688.

LCM(41680,41688) = 2⁴ × 5¹ × 521¹ × 3³ × 193¹
LCM(41680,41688) = 217194480