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What is the Least Common Multiple of 95518 and 95523?

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 95518 and 95523 is 9124165914.

LCM(95518,95523) = 9124165914

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Least Common Multiple of 95518 and 95523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95518 and 95523, than apply into the LCM equation.

GCF(95518,95523) = 1
LCM(95518,95523) = ( 95518 × 95523) / 1
LCM(95518,95523) = 9124165914 / 1
LCM(95518,95523) = 9124165914

Least Common Multiple (LCM) of 95518 and 95523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95518 and 95523. First we will calculate the prime factors of 95518 and 95523.

Prime Factorization of 95518

Prime factors of 95518 are 2, 163, 293. Prime factorization of 95518 in exponential form is:

95518 = 21 × 1631 × 2931

Prime Factorization of 95523

Prime factors of 95523 are 3, 17, 1873. Prime factorization of 95523 in exponential form is:

95523 = 31 × 171 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 95518 and 95523.

LCM(95518,95523) = 21 × 1631 × 2931 × 31 × 171 × 18731
LCM(95518,95523) = 9124165914