What is the Least Common Multiple of 43760 and 43780?

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 43780 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 43780, than apply into the LCM equation.

GCF(43760,43780) = 20
LCM(43760,43780) = ( 43760 × 43780) / 20
LCM(43760,43780) = 1915812800 / 20
LCM(43760,43780) = 95790640

Least Common Multiple (LCM) of 43760 and 43780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43760 and 43780. First we will calculate the prime factors of 43760 and 43780.

Prime Factorization of 43760

Prime Factorization of 43780

Now multiplying the highest exponent prime factors to calculate the LCM of 43760 and 43780.

LCM(43760,43780) = 2⁴ × 5¹ × 547¹ × 11¹ × 199¹
LCM(43760,43780) = 95790640