What is the Least Common Multiple of 56232 and 56241?

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 56232 and 56241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56232 and 56241, than apply into the LCM equation.

GCF(56232,56241) = 9
LCM(56232,56241) = ( 56232 × 56241) / 9
LCM(56232,56241) = 3162543912 / 9
LCM(56232,56241) = 351393768

Least Common Multiple (LCM) of 56232 and 56241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56232 and 56241. First we will calculate the prime factors of 56232 and 56241.

Prime Factorization of 56232

Prime Factorization of 56241

Now multiplying the highest exponent prime factors to calculate the LCM of 56232 and 56241.

LCM(56232,56241) = 2³ × 3³ × 11¹ × 71¹ × 2083¹
LCM(56232,56241) = 351393768