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What is the Least Common Multiple of 30639 and 30659?

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 30639 and 30659 is 939361101.

LCM(30639,30659) = 939361101

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Least Common Multiple of 30639 and 30659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30639 and 30659, than apply into the LCM equation.

GCF(30639,30659) = 1
LCM(30639,30659) = ( 30639 × 30659) / 1
LCM(30639,30659) = 939361101 / 1
LCM(30639,30659) = 939361101

Least Common Multiple (LCM) of 30639 and 30659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30639 and 30659. First we will calculate the prime factors of 30639 and 30659.

Prime Factorization of 30639

Prime factors of 30639 are 3, 7, 1459. Prime factorization of 30639 in exponential form is:

30639 = 31 × 71 × 14591

Prime Factorization of 30659

Prime factors of 30659 are 23, 31, 43. Prime factorization of 30659 in exponential form is:

30659 = 231 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 30639 and 30659.

LCM(30639,30659) = 31 × 71 × 14591 × 231 × 311 × 431
LCM(30639,30659) = 939361101