What is the Least Common Multiple of 41478 and 41497?

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 41478 and 41497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41478 and 41497, than apply into the LCM equation.

GCF(41478,41497) = 1
LCM(41478,41497) = ( 41478 × 41497) / 1
LCM(41478,41497) = 1721212566 / 1
LCM(41478,41497) = 1721212566

Least Common Multiple (LCM) of 41478 and 41497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41478 and 41497. First we will calculate the prime factors of 41478 and 41497.

Prime Factorization of 41478

Prime Factorization of 41497

Now multiplying the highest exponent prime factors to calculate the LCM of 41478 and 41497.

LCM(41478,41497) = 2¹ × 3¹ × 31¹ × 223¹ × 17¹ × 2441¹
LCM(41478,41497) = 1721212566