What is the Least Common Multiple of 41026 and 41032?

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 41026 and 41032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41026 and 41032, than apply into the LCM equation.

GCF(41026,41032) = 2
LCM(41026,41032) = ( 41026 × 41032) / 2
LCM(41026,41032) = 1683378832 / 2
LCM(41026,41032) = 841689416

Least Common Multiple (LCM) of 41026 and 41032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41026 and 41032. First we will calculate the prime factors of 41026 and 41032.

Prime Factorization of 41026

Prime Factorization of 41032

Now multiplying the highest exponent prime factors to calculate the LCM of 41026 and 41032.

LCM(41026,41032) = 2³ × 73¹ × 281¹ × 23¹ × 223¹
LCM(41026,41032) = 841689416