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What is the Least Common Multiple of 95546 and 95555?

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 95555 is 9129898030.

LCM(95546,95555) = 9129898030

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Least Common Multiple of 95546 and 95555 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 95555, than apply into the LCM equation.

GCF(95546,95555) = 1
LCM(95546,95555) = ( 95546 × 95555) / 1
LCM(95546,95555) = 9129898030 / 1
LCM(95546,95555) = 9129898030

Least Common Multiple (LCM) of 95546 and 95555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95546 and 95555. First we will calculate the prime factors of 95546 and 95555.

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 95555

Prime factors of 95555 are 5, 29, 659. Prime factorization of 95555 in exponential form is:

95555 = 51 × 291 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 95546 and 95555.

LCM(95546,95555) = 21 × 111 × 431 × 1011 × 51 × 291 × 6591
LCM(95546,95555) = 9129898030