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What is the Least Common Multiple of 95552 and 95559?

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 95552 and 95559 is 9130853568.

LCM(95552,95559) = 9130853568

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Least Common Multiple of 95552 and 95559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95552 and 95559, than apply into the LCM equation.

GCF(95552,95559) = 1
LCM(95552,95559) = ( 95552 × 95559) / 1
LCM(95552,95559) = 9130853568 / 1
LCM(95552,95559) = 9130853568

Least Common Multiple (LCM) of 95552 and 95559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95552 and 95559. First we will calculate the prime factors of 95552 and 95559.

Prime Factorization of 95552

Prime factors of 95552 are 2, 1493. Prime factorization of 95552 in exponential form is:

95552 = 26 × 14931

Prime Factorization of 95559

Prime factors of 95559 are 3, 53, 601. Prime factorization of 95559 in exponential form is:

95559 = 31 × 531 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 95552 and 95559.

LCM(95552,95559) = 26 × 14931 × 31 × 531 × 6011
LCM(95552,95559) = 9130853568