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What is the Least Common Multiple of 95215 and 95224?

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 95215 and 95224 is 9066753160.

LCM(95215,95224) = 9066753160

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Least Common Multiple of 95215 and 95224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95215 and 95224, than apply into the LCM equation.

GCF(95215,95224) = 1
LCM(95215,95224) = ( 95215 × 95224) / 1
LCM(95215,95224) = 9066753160 / 1
LCM(95215,95224) = 9066753160

Least Common Multiple (LCM) of 95215 and 95224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95215 and 95224. First we will calculate the prime factors of 95215 and 95224.

Prime Factorization of 95215

Prime factors of 95215 are 5, 137, 139. Prime factorization of 95215 in exponential form is:

95215 = 51 × 1371 × 1391

Prime Factorization of 95224

Prime factors of 95224 are 2, 11903. Prime factorization of 95224 in exponential form is:

95224 = 23 × 119031

Now multiplying the highest exponent prime factors to calculate the LCM of 95215 and 95224.

LCM(95215,95224) = 51 × 1371 × 1391 × 23 × 119031
LCM(95215,95224) = 9066753160