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What is the Least Common Multiple of 95440 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 95440 and 95455 is 1822045040.

LCM(95440,95455) = 1822045040

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Least Common Multiple of 95440 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 95440 and 95455, than apply into the LCM equation.

GCF(95440,95455) = 5
LCM(95440,95455) = ( 95440 × 95455) / 5
LCM(95440,95455) = 9110225200 / 5
LCM(95440,95455) = 1822045040

Least Common Multiple (LCM) of 95440 and 95455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95440 and 95455. First we will calculate the prime factors of 95440 and 95455.

Prime Factorization of 95440

Prime factors of 95440 are 2, 5, 1193. Prime factorization of 95440 in exponential form is:

95440 = 24 × 51 × 11931

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 95440 and 95455.

LCM(95440,95455) = 24 × 51 × 11931 × 171 × 11231
LCM(95440,95455) = 1822045040