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What is the Least Common Multiple of 95923 and 95933?

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 95923 and 95933 is 9202181159.

LCM(95923,95933) = 9202181159

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Least Common Multiple of 95923 and 95933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95923 and 95933, than apply into the LCM equation.

GCF(95923,95933) = 1
LCM(95923,95933) = ( 95923 × 95933) / 1
LCM(95923,95933) = 9202181159 / 1
LCM(95923,95933) = 9202181159

Least Common Multiple (LCM) of 95923 and 95933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95923 and 95933. First we will calculate the prime factors of 95923 and 95933.

Prime Factorization of 95923

Prime factors of 95923 are 95923. Prime factorization of 95923 in exponential form is:

95923 = 959231

Prime Factorization of 95933

Prime factors of 95933 are 23, 43, 97. Prime factorization of 95933 in exponential form is:

95933 = 231 × 431 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 95923 and 95933.

LCM(95923,95933) = 959231 × 231 × 431 × 971
LCM(95923,95933) = 9202181159