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What is the Least Common Multiple of 95927 and 95942?

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 95942 is 9203428234.

LCM(95927,95942) = 9203428234

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Least Common Multiple of 95927 and 95942 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 95942, than apply into the LCM equation.

GCF(95927,95942) = 1
LCM(95927,95942) = ( 95927 × 95942) / 1
LCM(95927,95942) = 9203428234 / 1
LCM(95927,95942) = 9203428234

Least Common Multiple (LCM) of 95927 and 95942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95927 and 95942. First we will calculate the prime factors of 95927 and 95942.

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 95942

Prime factors of 95942 are 2, 7, 11, 89. Prime factorization of 95942 in exponential form is:

95942 = 21 × 72 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 95927 and 95942.

LCM(95927,95942) = 131 × 471 × 1571 × 21 × 72 × 111 × 891
LCM(95927,95942) = 9203428234