What is the Least Common Multiple of 41958 and 41973?

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 41958 and 41973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41958 and 41973, than apply into the LCM equation.

GCF(41958,41973) = 3
LCM(41958,41973) = ( 41958 × 41973) / 3
LCM(41958,41973) = 1761103134 / 3
LCM(41958,41973) = 587034378

Least Common Multiple (LCM) of 41958 and 41973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41958 and 41973. First we will calculate the prime factors of 41958 and 41973.

Prime Factorization of 41958

Prime Factorization of 41973

Now multiplying the highest exponent prime factors to calculate the LCM of 41958 and 41973.

LCM(41958,41973) = 2¹ × 3⁴ × 7¹ × 37¹ × 17¹ × 823¹
LCM(41958,41973) = 587034378