What is the Least Common Multiple of 41648 and 41663?

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 41648 and 41663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41648 and 41663, than apply into the LCM equation.

GCF(41648,41663) = 1
LCM(41648,41663) = ( 41648 × 41663) / 1
LCM(41648,41663) = 1735180624 / 1
LCM(41648,41663) = 1735180624

Least Common Multiple (LCM) of 41648 and 41663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41648 and 41663. First we will calculate the prime factors of 41648 and 41663.

Prime Factorization of 41648

Prime Factorization of 41663

Now multiplying the highest exponent prime factors to calculate the LCM of 41648 and 41663.

LCM(41648,41663) = 2⁴ × 19¹ × 137¹ × 61¹ × 683¹
LCM(41648,41663) = 1735180624