What is the Least Common Multiple of 42561 and 42575?

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 42561 and 42575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42561 and 42575, than apply into the LCM equation.

GCF(42561,42575) = 1
LCM(42561,42575) = ( 42561 × 42575) / 1
LCM(42561,42575) = 1812034575 / 1
LCM(42561,42575) = 1812034575

Least Common Multiple (LCM) of 42561 and 42575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42561 and 42575. First we will calculate the prime factors of 42561 and 42575.

Prime Factorization of 42561

Prime Factorization of 42575

Now multiplying the highest exponent prime factors to calculate the LCM of 42561 and 42575.

LCM(42561,42575) = 3² × 4729¹ × 5² × 13¹ × 131¹
LCM(42561,42575) = 1812034575