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What is the Least Common Multiple of 29708 and 29720?

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 29708 and 29720 is 220730440.

LCM(29708,29720) = 220730440

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Least Common Multiple of 29708 and 29720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29708 and 29720, than apply into the LCM equation.

GCF(29708,29720) = 4
LCM(29708,29720) = ( 29708 × 29720) / 4
LCM(29708,29720) = 882921760 / 4
LCM(29708,29720) = 220730440

Least Common Multiple (LCM) of 29708 and 29720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29708 and 29720. First we will calculate the prime factors of 29708 and 29720.

Prime Factorization of 29708

Prime factors of 29708 are 2, 7, 1061. Prime factorization of 29708 in exponential form is:

29708 = 22 × 71 × 10611

Prime Factorization of 29720

Prime factors of 29720 are 2, 5, 743. Prime factorization of 29720 in exponential form is:

29720 = 23 × 51 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 29708 and 29720.

LCM(29708,29720) = 23 × 71 × 10611 × 51 × 7431
LCM(29708,29720) = 220730440