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What is the Least Common Multiple of 12750 and 12761?

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 12750 and 12761 is 162702750.

LCM(12750,12761) = 162702750

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Least Common Multiple of 12750 and 12761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12750 and 12761, than apply into the LCM equation.

GCF(12750,12761) = 1
LCM(12750,12761) = ( 12750 × 12761) / 1
LCM(12750,12761) = 162702750 / 1
LCM(12750,12761) = 162702750

Least Common Multiple (LCM) of 12750 and 12761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12750 and 12761. First we will calculate the prime factors of 12750 and 12761.

Prime Factorization of 12750

Prime factors of 12750 are 2, 3, 5, 17. Prime factorization of 12750 in exponential form is:

12750 = 21 × 31 × 53 × 171

Prime Factorization of 12761

Prime factors of 12761 are 7, 1823. Prime factorization of 12761 in exponential form is:

12761 = 71 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 12750 and 12761.

LCM(12750,12761) = 21 × 31 × 53 × 171 × 71 × 18231
LCM(12750,12761) = 162702750