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What is the Least Common Multiple of 29908 and 29920?

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 29908 and 29920 is 223711840.

LCM(29908,29920) = 223711840

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Least Common Multiple of 29908 and 29920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29908 and 29920, than apply into the LCM equation.

GCF(29908,29920) = 4
LCM(29908,29920) = ( 29908 × 29920) / 4
LCM(29908,29920) = 894847360 / 4
LCM(29908,29920) = 223711840

Least Common Multiple (LCM) of 29908 and 29920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29908 and 29920. First we will calculate the prime factors of 29908 and 29920.

Prime Factorization of 29908

Prime factors of 29908 are 2, 7477. Prime factorization of 29908 in exponential form is:

29908 = 22 × 74771

Prime Factorization of 29920

Prime factors of 29920 are 2, 5, 11, 17. Prime factorization of 29920 in exponential form is:

29920 = 25 × 51 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 29908 and 29920.

LCM(29908,29920) = 25 × 74771 × 51 × 111 × 171
LCM(29908,29920) = 223711840