What is the Least Common Multiple of 41609 and 41626?

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 41609 and 41626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41609 and 41626, than apply into the LCM equation.

GCF(41609,41626) = 1
LCM(41609,41626) = ( 41609 × 41626) / 1
LCM(41609,41626) = 1732016234 / 1
LCM(41609,41626) = 1732016234

Least Common Multiple (LCM) of 41609 and 41626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41609 and 41626. First we will calculate the prime factors of 41609 and 41626.

Prime Factorization of 41609

Prime Factorization of 41626

Now multiplying the highest exponent prime factors to calculate the LCM of 41609 and 41626.

LCM(41609,41626) = 41609¹ × 2¹ × 13¹ × 1601¹
LCM(41609,41626) = 1732016234