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What is the Least Common Multiple of 95557 and 95568?

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 95557 and 95568 is 830199216.

LCM(95557,95568) = 830199216

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Least Common Multiple of 95557 and 95568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95557 and 95568, than apply into the LCM equation.

GCF(95557,95568) = 11
LCM(95557,95568) = ( 95557 × 95568) / 11
LCM(95557,95568) = 9132191376 / 11
LCM(95557,95568) = 830199216

Least Common Multiple (LCM) of 95557 and 95568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95557 and 95568. First we will calculate the prime factors of 95557 and 95568.

Prime Factorization of 95557

Prime factors of 95557 are 7, 11, 17, 73. Prime factorization of 95557 in exponential form is:

95557 = 71 × 111 × 171 × 731

Prime Factorization of 95568

Prime factors of 95568 are 2, 3, 11, 181. Prime factorization of 95568 in exponential form is:

95568 = 24 × 31 × 111 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 95557 and 95568.

LCM(95557,95568) = 71 × 111 × 171 × 731 × 24 × 31 × 1811
LCM(95557,95568) = 830199216