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What is the Least Common Multiple of 95449 and 95455?

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 95449 and 95455 is 9111084295.

LCM(95449,95455) = 9111084295

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Least Common Multiple of 95449 and 95455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95449 and 95455, than apply into the LCM equation.

GCF(95449,95455) = 1
LCM(95449,95455) = ( 95449 × 95455) / 1
LCM(95449,95455) = 9111084295 / 1
LCM(95449,95455) = 9111084295

Least Common Multiple (LCM) of 95449 and 95455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95449 and 95455. First we will calculate the prime factors of 95449 and 95455.

Prime Factorization of 95449

Prime factors of 95449 are 31, 3079. Prime factorization of 95449 in exponential form is:

95449 = 311 × 30791

Prime Factorization of 95455

Prime factors of 95455 are 5, 17, 1123. Prime factorization of 95455 in exponential form is:

95455 = 51 × 171 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 95449 and 95455.

LCM(95449,95455) = 311 × 30791 × 51 × 171 × 11231
LCM(95449,95455) = 9111084295