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What is the Least Common Multiple of 23226 and 23243?

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 23226 and 23243 is 539841918.

LCM(23226,23243) = 539841918

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Least Common Multiple of 23226 and 23243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23226 and 23243, than apply into the LCM equation.

GCF(23226,23243) = 1
LCM(23226,23243) = ( 23226 × 23243) / 1
LCM(23226,23243) = 539841918 / 1
LCM(23226,23243) = 539841918

Least Common Multiple (LCM) of 23226 and 23243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23226 and 23243. First we will calculate the prime factors of 23226 and 23243.

Prime Factorization of 23226

Prime factors of 23226 are 2, 3, 7, 79. Prime factorization of 23226 in exponential form is:

23226 = 21 × 31 × 72 × 791

Prime Factorization of 23243

Prime factors of 23243 are 11, 2113. Prime factorization of 23243 in exponential form is:

23243 = 111 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 23226 and 23243.

LCM(23226,23243) = 21 × 31 × 72 × 791 × 111 × 21131
LCM(23226,23243) = 539841918