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What is the Least Common Multiple of 23345 and 23359?

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 23345 and 23359 is 77902265.

LCM(23345,23359) = 77902265

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Least Common Multiple of 23345 and 23359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23345 and 23359, than apply into the LCM equation.

GCF(23345,23359) = 7
LCM(23345,23359) = ( 23345 × 23359) / 7
LCM(23345,23359) = 545315855 / 7
LCM(23345,23359) = 77902265

Least Common Multiple (LCM) of 23345 and 23359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23345 and 23359. First we will calculate the prime factors of 23345 and 23359.

Prime Factorization of 23345

Prime factors of 23345 are 5, 7, 23, 29. Prime factorization of 23345 in exponential form is:

23345 = 51 × 71 × 231 × 291

Prime Factorization of 23359

Prime factors of 23359 are 7, 47, 71. Prime factorization of 23359 in exponential form is:

23359 = 71 × 471 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 23345 and 23359.

LCM(23345,23359) = 51 × 71 × 231 × 291 × 471 × 711
LCM(23345,23359) = 77902265