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What is the Least Common Multiple of 29720 and 29729?

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 29729 is 883545880.

LCM(29720,29729) = 883545880

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Least Common Multiple of 29720 and 29729 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 29729, than apply into the LCM equation.

GCF(29720,29729) = 1
LCM(29720,29729) = ( 29720 × 29729) / 1
LCM(29720,29729) = 883545880 / 1
LCM(29720,29729) = 883545880

Least Common Multiple (LCM) of 29720 and 29729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29720 and 29729. First we will calculate the prime factors of 29720 and 29729.

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 29729

Prime factors of 29729 are 7, 31, 137. Prime factorization of 29729 in exponential form is:

29729 = 71 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 29720 and 29729.

LCM(29720,29729) = 23 × 51 × 7431 × 71 × 311 × 1371
LCM(29720,29729) = 883545880