What is the Least Common Multiple of 43760 and 43768?

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 43768 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 43768, than apply into the LCM equation.

GCF(43760,43768) = 8
LCM(43760,43768) = ( 43760 × 43768) / 8
LCM(43760,43768) = 1915287680 / 8
LCM(43760,43768) = 239410960

Least Common Multiple (LCM) of 43760 and 43768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43760 and 43768. First we will calculate the prime factors of 43760 and 43768.

Prime Factorization of 43760

Prime Factorization of 43768

Now multiplying the highest exponent prime factors to calculate the LCM of 43760 and 43768.

LCM(43760,43768) = 2⁴ × 5¹ × 547¹ × 5471¹
LCM(43760,43768) = 239410960