What is the Least Common Multiple of 43774 and 43791?

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 43774 and 43791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43774 and 43791, than apply into the LCM equation.

GCF(43774,43791) = 1
LCM(43774,43791) = ( 43774 × 43791) / 1
LCM(43774,43791) = 1916907234 / 1
LCM(43774,43791) = 1916907234

Least Common Multiple (LCM) of 43774 and 43791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43774 and 43791. First we will calculate the prime factors of 43774 and 43791.

Prime Factorization of 43774

Prime Factorization of 43791

Now multiplying the highest exponent prime factors to calculate the LCM of 43774 and 43791.

LCM(43774,43791) = 2¹ × 43¹ × 509¹ × 3¹ × 11¹ × 1327¹
LCM(43774,43791) = 1916907234