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What is the Least Common Multiple of 23227 and 23235?

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 (LCM) of 23227 and 23235 is 539679345.

LCM(23227,23235) = 539679345

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Least Common Multiple of 23227 and 23235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23227 and 23235, than apply into the LCM equation.

GCF(23227,23235) = 1
LCM(23227,23235) = ( 23227 × 23235) / 1
LCM(23227,23235) = 539679345 / 1
LCM(23227,23235) = 539679345

Least Common Multiple (LCM) of 23227 and 23235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23227 and 23235. First we will calculate the prime factors of 23227 and 23235.

Prime Factorization of 23227

Prime factors of 23227 are 23227. Prime factorization of 23227 in exponential form is:

23227 = 232271

Prime Factorization of 23235

Prime factors of 23235 are 3, 5, 1549. Prime factorization of 23235 in exponential form is:

23235 = 31 × 51 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 23227 and 23235.

LCM(23227,23235) = 232271 × 31 × 51 × 15491
LCM(23227,23235) = 539679345