What is the Least Common Multiple of 43360 and 43369?

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 43360 and 43369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43360 and 43369, than apply into the LCM equation.

GCF(43360,43369) = 1
LCM(43360,43369) = ( 43360 × 43369) / 1
LCM(43360,43369) = 1880479840 / 1
LCM(43360,43369) = 1880479840

Least Common Multiple (LCM) of 43360 and 43369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43360 and 43369. First we will calculate the prime factors of 43360 and 43369.

Prime Factorization of 43360

Prime Factorization of 43369

Now multiplying the highest exponent prime factors to calculate the LCM of 43360 and 43369.

LCM(43360,43369) = 2⁵ × 5¹ × 271¹ × 31¹ × 1399¹
LCM(43360,43369) = 1880479840