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What is the Least Common Multiple of 95927 and 95938?

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 95927 and 95938 is 9203044526.

LCM(95927,95938) = 9203044526

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Least Common Multiple of 95927 and 95938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95927 and 95938, than apply into the LCM equation.

GCF(95927,95938) = 1
LCM(95927,95938) = ( 95927 × 95938) / 1
LCM(95927,95938) = 9203044526 / 1
LCM(95927,95938) = 9203044526

Least Common Multiple (LCM) of 95927 and 95938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95927 and 95938. First we will calculate the prime factors of 95927 and 95938.

Prime Factorization of 95927

Prime factors of 95927 are 13, 47, 157. Prime factorization of 95927 in exponential form is:

95927 = 131 × 471 × 1571

Prime Factorization of 95938

Prime factors of 95938 are 2, 47969. Prime factorization of 95938 in exponential form is:

95938 = 21 × 479691

Now multiplying the highest exponent prime factors to calculate the LCM of 95927 and 95938.

LCM(95927,95938) = 131 × 471 × 1571 × 21 × 479691
LCM(95927,95938) = 9203044526