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What is the Least Common Multiple of 10122 and 10127?

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 10122 and 10127 is 102505494.

LCM(10122,10127) = 102505494

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Least Common Multiple of 10122 and 10127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10122 and 10127, than apply into the LCM equation.

GCF(10122,10127) = 1
LCM(10122,10127) = ( 10122 × 10127) / 1
LCM(10122,10127) = 102505494 / 1
LCM(10122,10127) = 102505494

Least Common Multiple (LCM) of 10122 and 10127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10122 and 10127. First we will calculate the prime factors of 10122 and 10127.

Prime Factorization of 10122

Prime factors of 10122 are 2, 3, 7, 241. Prime factorization of 10122 in exponential form is:

10122 = 21 × 31 × 71 × 2411

Prime Factorization of 10127

Prime factors of 10127 are 13, 19, 41. Prime factorization of 10127 in exponential form is:

10127 = 131 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10122 and 10127.

LCM(10122,10127) = 21 × 31 × 71 × 2411 × 131 × 191 × 411
LCM(10122,10127) = 102505494