What is the Least Common Multiple of 43580 and 43592?

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 43580 and 43592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43580 and 43592, than apply into the LCM equation.

GCF(43580,43592) = 4
LCM(43580,43592) = ( 43580 × 43592) / 4
LCM(43580,43592) = 1899739360 / 4
LCM(43580,43592) = 474934840

Least Common Multiple (LCM) of 43580 and 43592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43580 and 43592. First we will calculate the prime factors of 43580 and 43592.

Prime Factorization of 43580

Prime Factorization of 43592

Now multiplying the highest exponent prime factors to calculate the LCM of 43580 and 43592.

LCM(43580,43592) = 2³ × 5¹ × 2179¹ × 5449¹
LCM(43580,43592) = 474934840