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What is the Least Common Multiple of 95967 and 95987?

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 95967 and 95987 is 9211584429.

LCM(95967,95987) = 9211584429

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Least Common Multiple of 95967 and 95987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95967 and 95987, than apply into the LCM equation.

GCF(95967,95987) = 1
LCM(95967,95987) = ( 95967 × 95987) / 1
LCM(95967,95987) = 9211584429 / 1
LCM(95967,95987) = 9211584429

Least Common Multiple (LCM) of 95967 and 95987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95967 and 95987. First we will calculate the prime factors of 95967 and 95987.

Prime Factorization of 95967

Prime factors of 95967 are 3, 10663. Prime factorization of 95967 in exponential form is:

95967 = 32 × 106631

Prime Factorization of 95987

Prime factors of 95987 are 95987. Prime factorization of 95987 in exponential form is:

95987 = 959871

Now multiplying the highest exponent prime factors to calculate the LCM of 95967 and 95987.

LCM(95967,95987) = 32 × 106631 × 959871
LCM(95967,95987) = 9211584429