What is the Least Common Multiple of 36224 and 36241?

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 36224 and 36241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36224 and 36241, than apply into the LCM equation.

GCF(36224,36241) = 1
LCM(36224,36241) = ( 36224 × 36241) / 1
LCM(36224,36241) = 1312793984 / 1
LCM(36224,36241) = 1312793984

Least Common Multiple (LCM) of 36224 and 36241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36224 and 36241. First we will calculate the prime factors of 36224 and 36241.

Prime Factorization of 36224

Prime Factorization of 36241

Now multiplying the highest exponent prime factors to calculate the LCM of 36224 and 36241.

LCM(36224,36241) = 2⁷ × 283¹ × 36241¹
LCM(36224,36241) = 1312793984