What is the Least Common Multiple of 41648 and 41662?

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 41662 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 41662, than apply into the LCM equation.

GCF(41648,41662) = 2
LCM(41648,41662) = ( 41648 × 41662) / 2
LCM(41648,41662) = 1735138976 / 2
LCM(41648,41662) = 867569488

Least Common Multiple (LCM) of 41648 and 41662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41648 and 41662. First we will calculate the prime factors of 41648 and 41662.

Prime Factorization of 41648

Prime Factorization of 41662

Now multiplying the highest exponent prime factors to calculate the LCM of 41648 and 41662.

LCM(41648,41662) = 2⁴ × 19¹ × 137¹ × 37¹ × 563¹
LCM(41648,41662) = 867569488