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What is the Least Common Multiple of 30709 and 30721?

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 30709 and 30721 is 943411189.

LCM(30709,30721) = 943411189

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Least Common Multiple of 30709 and 30721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30709 and 30721, than apply into the LCM equation.

GCF(30709,30721) = 1
LCM(30709,30721) = ( 30709 × 30721) / 1
LCM(30709,30721) = 943411189 / 1
LCM(30709,30721) = 943411189

Least Common Multiple (LCM) of 30709 and 30721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30709 and 30721. First we will calculate the prime factors of 30709 and 30721.

Prime Factorization of 30709

Prime factors of 30709 are 7, 41, 107. Prime factorization of 30709 in exponential form is:

30709 = 71 × 411 × 1071

Prime Factorization of 30721

Prime factors of 30721 are 31, 991. Prime factorization of 30721 in exponential form is:

30721 = 311 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 30709 and 30721.

LCM(30709,30721) = 71 × 411 × 1071 × 311 × 9911
LCM(30709,30721) = 943411189