What is the Least Common Multiple of 43774 and 43783?

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 43783 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 43783, than apply into the LCM equation.

GCF(43774,43783) = 1
LCM(43774,43783) = ( 43774 × 43783) / 1
LCM(43774,43783) = 1916557042 / 1
LCM(43774,43783) = 1916557042

Least Common Multiple (LCM) of 43774 and 43783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43774 and 43783. First we will calculate the prime factors of 43774 and 43783.

Prime Factorization of 43774

Prime Factorization of 43783

Now multiplying the highest exponent prime factors to calculate the LCM of 43774 and 43783.

LCM(43774,43783) = 2¹ × 43¹ × 509¹ × 43783¹
LCM(43774,43783) = 1916557042