What is the Least Common Multiple of 41425 and 41442?

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 41425 and 41442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41425 and 41442, than apply into the LCM equation.

GCF(41425,41442) = 1
LCM(41425,41442) = ( 41425 × 41442) / 1
LCM(41425,41442) = 1716734850 / 1
LCM(41425,41442) = 1716734850

Least Common Multiple (LCM) of 41425 and 41442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41425 and 41442. First we will calculate the prime factors of 41425 and 41442.

Prime Factorization of 41425

Prime Factorization of 41442

Now multiplying the highest exponent prime factors to calculate the LCM of 41425 and 41442.

LCM(41425,41442) = 5² × 1657¹ × 2¹ × 3¹ × 6907¹
LCM(41425,41442) = 1716734850