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What is the Least Common Multiple of 51094 and 51103?

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 51094 and 51103 is 2611056682.

LCM(51094,51103) = 2611056682

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Least Common Multiple of 51094 and 51103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51094 and 51103, than apply into the LCM equation.

GCF(51094,51103) = 1
LCM(51094,51103) = ( 51094 × 51103) / 1
LCM(51094,51103) = 2611056682 / 1
LCM(51094,51103) = 2611056682

Least Common Multiple (LCM) of 51094 and 51103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51094 and 51103. First we will calculate the prime factors of 51094 and 51103.

Prime Factorization of 51094

Prime factors of 51094 are 2, 59, 433. Prime factorization of 51094 in exponential form is:

51094 = 21 × 591 × 4331

Prime Factorization of 51103

Prime factors of 51103 are 13, 3931. Prime factorization of 51103 in exponential form is:

51103 = 131 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 51094 and 51103.

LCM(51094,51103) = 21 × 591 × 4331 × 131 × 39311
LCM(51094,51103) = 2611056682