What is the Least Common Multiple of 41738 and 41753?

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 41738 and 41753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41738 and 41753, than apply into the LCM equation.

GCF(41738,41753) = 1
LCM(41738,41753) = ( 41738 × 41753) / 1
LCM(41738,41753) = 1742686714 / 1
LCM(41738,41753) = 1742686714

Least Common Multiple (LCM) of 41738 and 41753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41738 and 41753. First we will calculate the prime factors of 41738 and 41753.

Prime Factorization of 41738

Prime Factorization of 41753

Now multiplying the highest exponent prime factors to calculate the LCM of 41738 and 41753.

LCM(41738,41753) = 2¹ × 41¹ × 509¹ × 43¹ × 971¹
LCM(41738,41753) = 1742686714