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What is the Least Common Multiple of 95921 and 95926?

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 95926 is 9201317846.

LCM(95921,95926) = 9201317846

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Least Common Multiple of 95921 and 95926 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 95926, than apply into the LCM equation.

GCF(95921,95926) = 1
LCM(95921,95926) = ( 95921 × 95926) / 1
LCM(95921,95926) = 9201317846 / 1
LCM(95921,95926) = 9201317846

Least Common Multiple (LCM) of 95921 and 95926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95921 and 95926. First we will calculate the prime factors of 95921 and 95926.

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 95926

Prime factors of 95926 are 2, 47963. Prime factorization of 95926 in exponential form is:

95926 = 21 × 479631

Now multiplying the highest exponent prime factors to calculate the LCM of 95921 and 95926.

LCM(95921,95926) = 71 × 711 × 1931 × 21 × 479631
LCM(95921,95926) = 9201317846