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What is the Least Common Multiple of 29720 and 29733?

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 29720 and 29733 is 883664760.

LCM(29720,29733) = 883664760

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Least Common Multiple of 29720 and 29733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29720 and 29733, than apply into the LCM equation.

GCF(29720,29733) = 1
LCM(29720,29733) = ( 29720 × 29733) / 1
LCM(29720,29733) = 883664760 / 1
LCM(29720,29733) = 883664760

Least Common Multiple (LCM) of 29720 and 29733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29720 and 29733. First we will calculate the prime factors of 29720 and 29733.

Prime Factorization of 29720

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

29720 = 23 × 51 × 7431

Prime Factorization of 29733

Prime factors of 29733 are 3, 11, 17, 53. Prime factorization of 29733 in exponential form is:

29733 = 31 × 111 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 29720 and 29733.

LCM(29720,29733) = 23 × 51 × 7431 × 31 × 111 × 171 × 531
LCM(29720,29733) = 883664760