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What is the Least Common Multiple of 95921 and 95927?

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 95921 and 95927 is 9201413767.

LCM(95921,95927) = 9201413767

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Least Common Multiple of 95921 and 95927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95921 and 95927, than apply into the LCM equation.

GCF(95921,95927) = 1
LCM(95921,95927) = ( 95921 × 95927) / 1
LCM(95921,95927) = 9201413767 / 1
LCM(95921,95927) = 9201413767

Least Common Multiple (LCM) of 95921 and 95927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95921 and 95927. First we will calculate the prime factors of 95921 and 95927.

Prime Factorization of 95921

Prime factors of 95921 are 7, 71, 193. Prime factorization of 95921 in exponential form is:

95921 = 71 × 711 × 1931

Prime Factorization of 95927

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

95927 = 131 × 471 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 95921 and 95927.

LCM(95921,95927) = 71 × 711 × 1931 × 131 × 471 × 1571
LCM(95921,95927) = 9201413767