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What is the Least Common Multiple of 97935 and 97943?

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 97935 and 97943 is 9592047705.

LCM(97935,97943) = 9592047705

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Least Common Multiple of 97935 and 97943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97935 and 97943, than apply into the LCM equation.

GCF(97935,97943) = 1
LCM(97935,97943) = ( 97935 × 97943) / 1
LCM(97935,97943) = 9592047705 / 1
LCM(97935,97943) = 9592047705

Least Common Multiple (LCM) of 97935 and 97943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97935 and 97943. First we will calculate the prime factors of 97935 and 97943.

Prime Factorization of 97935

Prime factors of 97935 are 3, 5, 6529. Prime factorization of 97935 in exponential form is:

97935 = 31 × 51 × 65291

Prime Factorization of 97943

Prime factors of 97943 are 97943. Prime factorization of 97943 in exponential form is:

97943 = 979431

Now multiplying the highest exponent prime factors to calculate the LCM of 97935 and 97943.

LCM(97935,97943) = 31 × 51 × 65291 × 979431
LCM(97935,97943) = 9592047705