What is the Least Common Multiple of 41745 and 41754?

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 41745 and 41754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41745 and 41754, than apply into the LCM equation.

GCF(41745,41754) = 3
LCM(41745,41754) = ( 41745 × 41754) / 3
LCM(41745,41754) = 1743020730 / 3
LCM(41745,41754) = 581006910

Least Common Multiple (LCM) of 41745 and 41754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41745 and 41754. First we will calculate the prime factors of 41745 and 41754.

Prime Factorization of 41745

Prime Factorization of 41754

Now multiplying the highest exponent prime factors to calculate the LCM of 41745 and 41754.

LCM(41745,41754) = 3¹ × 5¹ × 11² × 23¹ × 2¹ × 6959¹
LCM(41745,41754) = 581006910