What is the Least Common Multiple of 43760 and 43774?

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 43760 and 43774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43760 and 43774, than apply into the LCM equation.

GCF(43760,43774) = 2
LCM(43760,43774) = ( 43760 × 43774) / 2
LCM(43760,43774) = 1915550240 / 2
LCM(43760,43774) = 957775120

Least Common Multiple (LCM) of 43760 and 43774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43760 and 43774. First we will calculate the prime factors of 43760 and 43774.

Prime Factorization of 43760

Prime Factorization of 43774

Now multiplying the highest exponent prime factors to calculate the LCM of 43760 and 43774.

LCM(43760,43774) = 2⁴ × 5¹ × 547¹ × 43¹ × 509¹
LCM(43760,43774) = 957775120