What is the Least Common Multiple of 41745 and 41755?

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 41755 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 41755, than apply into the LCM equation.

GCF(41745,41755) = 5
LCM(41745,41755) = ( 41745 × 41755) / 5
LCM(41745,41755) = 1743062475 / 5
LCM(41745,41755) = 348612495

Least Common Multiple (LCM) of 41745 and 41755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41745 and 41755. First we will calculate the prime factors of 41745 and 41755.

Prime Factorization of 41745

Prime Factorization of 41755

Now multiplying the highest exponent prime factors to calculate the LCM of 41745 and 41755.

LCM(41745,41755) = 3¹ × 5¹ × 11² × 23¹ × 7¹ × 1193¹
LCM(41745,41755) = 348612495