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What is the Least Common Multiple of 10634 and 10639?

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 10634 and 10639 is 113135126.

LCM(10634,10639) = 113135126

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Least Common Multiple of 10634 and 10639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10634 and 10639, than apply into the LCM equation.

GCF(10634,10639) = 1
LCM(10634,10639) = ( 10634 × 10639) / 1
LCM(10634,10639) = 113135126 / 1
LCM(10634,10639) = 113135126

Least Common Multiple (LCM) of 10634 and 10639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10634 and 10639. First we will calculate the prime factors of 10634 and 10639.

Prime Factorization of 10634

Prime factors of 10634 are 2, 13, 409. Prime factorization of 10634 in exponential form is:

10634 = 21 × 131 × 4091

Prime Factorization of 10639

Prime factors of 10639 are 10639. Prime factorization of 10639 in exponential form is:

10639 = 106391

Now multiplying the highest exponent prime factors to calculate the LCM of 10634 and 10639.

LCM(10634,10639) = 21 × 131 × 4091 × 106391
LCM(10634,10639) = 113135126