What is the Least Common Multiple of 41614 and 41632?

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 41614 and 41632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41614 and 41632, than apply into the LCM equation.

GCF(41614,41632) = 2
LCM(41614,41632) = ( 41614 × 41632) / 2
LCM(41614,41632) = 1732474048 / 2
LCM(41614,41632) = 866237024

Least Common Multiple (LCM) of 41614 and 41632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41614 and 41632. First we will calculate the prime factors of 41614 and 41632.

Prime Factorization of 41614

Prime Factorization of 41632

Now multiplying the highest exponent prime factors to calculate the LCM of 41614 and 41632.

LCM(41614,41632) = 2⁵ × 20807¹ × 1301¹
LCM(41614,41632) = 866237024