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What is the Least Common Multiple of 95555 and 95565?

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 95555 and 95565 is 1826342715.

LCM(95555,95565) = 1826342715

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Least Common Multiple of 95555 and 95565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95555 and 95565, than apply into the LCM equation.

GCF(95555,95565) = 5
LCM(95555,95565) = ( 95555 × 95565) / 5
LCM(95555,95565) = 9131713575 / 5
LCM(95555,95565) = 1826342715

Least Common Multiple (LCM) of 95555 and 95565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95555 and 95565. First we will calculate the prime factors of 95555 and 95565.

Prime Factorization of 95555

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

95555 = 51 × 291 × 6591

Prime Factorization of 95565

Prime factors of 95565 are 3, 5, 23, 277. Prime factorization of 95565 in exponential form is:

95565 = 31 × 51 × 231 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 95555 and 95565.

LCM(95555,95565) = 51 × 291 × 6591 × 31 × 231 × 2771
LCM(95555,95565) = 1826342715