What is the Least Common Multiple of 43568 and 43577?

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 43568 and 43577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43568 and 43577, than apply into the LCM equation.

GCF(43568,43577) = 1
LCM(43568,43577) = ( 43568 × 43577) / 1
LCM(43568,43577) = 1898562736 / 1
LCM(43568,43577) = 1898562736

Least Common Multiple (LCM) of 43568 and 43577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43568 and 43577. First we will calculate the prime factors of 43568 and 43577.

Prime Factorization of 43568

Prime Factorization of 43577

Now multiplying the highest exponent prime factors to calculate the LCM of 43568 and 43577.

LCM(43568,43577) = 2⁴ × 7¹ × 389¹ × 43577¹
LCM(43568,43577) = 1898562736