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What is the Least Common Multiple of 95546 and 95553?

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 95546 and 95553 is 9129706938.

LCM(95546,95553) = 9129706938

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Least Common Multiple of 95546 and 95553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95546 and 95553, than apply into the LCM equation.

GCF(95546,95553) = 1
LCM(95546,95553) = ( 95546 × 95553) / 1
LCM(95546,95553) = 9129706938 / 1
LCM(95546,95553) = 9129706938

Least Common Multiple (LCM) of 95546 and 95553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95546 and 95553. First we will calculate the prime factors of 95546 and 95553.

Prime Factorization of 95546

Prime factors of 95546 are 2, 11, 43, 101. Prime factorization of 95546 in exponential form is:

95546 = 21 × 111 × 431 × 1011

Prime Factorization of 95553

Prime factors of 95553 are 3, 3539. Prime factorization of 95553 in exponential form is:

95553 = 33 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 95546 and 95553.

LCM(95546,95553) = 21 × 111 × 431 × 1011 × 33 × 35391
LCM(95546,95553) = 9129706938