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What is the Least Common Multiple of 95623 and 95632?

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 95623 and 95632 is 9144618736.

LCM(95623,95632) = 9144618736

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Least Common Multiple of 95623 and 95632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95623 and 95632, than apply into the LCM equation.

GCF(95623,95632) = 1
LCM(95623,95632) = ( 95623 × 95632) / 1
LCM(95623,95632) = 9144618736 / 1
LCM(95623,95632) = 9144618736

Least Common Multiple (LCM) of 95623 and 95632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95623 and 95632. First we will calculate the prime factors of 95623 and 95632.

Prime Factorization of 95623

Prime factors of 95623 are 11, 8693. Prime factorization of 95623 in exponential form is:

95623 = 111 × 86931

Prime Factorization of 95632

Prime factors of 95632 are 2, 43, 139. Prime factorization of 95632 in exponential form is:

95632 = 24 × 431 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 95623 and 95632.

LCM(95623,95632) = 111 × 86931 × 24 × 431 × 1391
LCM(95623,95632) = 9144618736