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What is the Least Common Multiple of 10712 and 10719?

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 10712 and 10719 is 114821928.

LCM(10712,10719) = 114821928

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Least Common Multiple of 10712 and 10719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10712 and 10719, than apply into the LCM equation.

GCF(10712,10719) = 1
LCM(10712,10719) = ( 10712 × 10719) / 1
LCM(10712,10719) = 114821928 / 1
LCM(10712,10719) = 114821928

Least Common Multiple (LCM) of 10712 and 10719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10712 and 10719. First we will calculate the prime factors of 10712 and 10719.

Prime Factorization of 10712

Prime factors of 10712 are 2, 13, 103. Prime factorization of 10712 in exponential form is:

10712 = 23 × 131 × 1031

Prime Factorization of 10719

Prime factors of 10719 are 3, 397. Prime factorization of 10719 in exponential form is:

10719 = 33 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 10712 and 10719.

LCM(10712,10719) = 23 × 131 × 1031 × 33 × 3971
LCM(10712,10719) = 114821928