What is the Least Common Multiple of 45782 and 45791?

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 45782 and 45791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45782 and 45791, than apply into the LCM equation.

GCF(45782,45791) = 1
LCM(45782,45791) = ( 45782 × 45791) / 1
LCM(45782,45791) = 2096403562 / 1
LCM(45782,45791) = 2096403562

Least Common Multiple (LCM) of 45782 and 45791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45782 and 45791. First we will calculate the prime factors of 45782 and 45791.

Prime Factorization of 45782

Prime Factorization of 45791

Now multiplying the highest exponent prime factors to calculate the LCM of 45782 and 45791.

LCM(45782,45791) = 2¹ × 11¹ × 2081¹ × 29¹ × 1579¹
LCM(45782,45791) = 2096403562