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What is the Least Common Multiple of 10419 and 10427?

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 10419 and 10427 is 108638913.

LCM(10419,10427) = 108638913

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Least Common Multiple of 10419 and 10427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10419 and 10427, than apply into the LCM equation.

GCF(10419,10427) = 1
LCM(10419,10427) = ( 10419 × 10427) / 1
LCM(10419,10427) = 108638913 / 1
LCM(10419,10427) = 108638913

Least Common Multiple (LCM) of 10419 and 10427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10419 and 10427. First we will calculate the prime factors of 10419 and 10427.

Prime Factorization of 10419

Prime factors of 10419 are 3, 23, 151. Prime factorization of 10419 in exponential form is:

10419 = 31 × 231 × 1511

Prime Factorization of 10427

Prime factors of 10427 are 10427. Prime factorization of 10427 in exponential form is:

10427 = 104271

Now multiplying the highest exponent prime factors to calculate the LCM of 10419 and 10427.

LCM(10419,10427) = 31 × 231 × 1511 × 104271
LCM(10419,10427) = 108638913