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What is the Least Common Multiple of 95552 and 95563?

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 95563 is 9131235776.

LCM(95552,95563) = 9131235776

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Least Common Multiple of 95552 and 95563 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 95563, than apply into the LCM equation.

GCF(95552,95563) = 1
LCM(95552,95563) = ( 95552 × 95563) / 1
LCM(95552,95563) = 9131235776 / 1
LCM(95552,95563) = 9131235776

Least Common Multiple (LCM) of 95552 and 95563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95552 and 95563. First we will calculate the prime factors of 95552 and 95563.

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 95563

Prime factors of 95563 are 13, 7351. Prime factorization of 95563 in exponential form is:

95563 = 131 × 73511

Now multiplying the highest exponent prime factors to calculate the LCM of 95552 and 95563.

LCM(95552,95563) = 26 × 14931 × 131 × 73511
LCM(95552,95563) = 9131235776