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What is the Least Common Multiple of 54295 and 54302?

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 54295 and 54302 is 2948327090.

LCM(54295,54302) = 2948327090

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Least Common Multiple of 54295 and 54302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54295 and 54302, than apply into the LCM equation.

GCF(54295,54302) = 1
LCM(54295,54302) = ( 54295 × 54302) / 1
LCM(54295,54302) = 2948327090 / 1
LCM(54295,54302) = 2948327090

Least Common Multiple (LCM) of 54295 and 54302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54295 and 54302. First we will calculate the prime factors of 54295 and 54302.

Prime Factorization of 54295

Prime factors of 54295 are 5, 10859. Prime factorization of 54295 in exponential form is:

54295 = 51 × 108591

Prime Factorization of 54302

Prime factors of 54302 are 2, 19, 1429. Prime factorization of 54302 in exponential form is:

54302 = 21 × 191 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 54295 and 54302.

LCM(54295,54302) = 51 × 108591 × 21 × 191 × 14291
LCM(54295,54302) = 2948327090