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What is the Least Common Multiple of 29955 and 29961?

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 29955 and 29961 is 299160585.

LCM(29955,29961) = 299160585

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Least Common Multiple of 29955 and 29961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29955 and 29961, than apply into the LCM equation.

GCF(29955,29961) = 3
LCM(29955,29961) = ( 29955 × 29961) / 3
LCM(29955,29961) = 897481755 / 3
LCM(29955,29961) = 299160585

Least Common Multiple (LCM) of 29955 and 29961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29955 and 29961. First we will calculate the prime factors of 29955 and 29961.

Prime Factorization of 29955

Prime factors of 29955 are 3, 5, 1997. Prime factorization of 29955 in exponential form is:

29955 = 31 × 51 × 19971

Prime Factorization of 29961

Prime factors of 29961 are 3, 3329. Prime factorization of 29961 in exponential form is:

29961 = 32 × 33291

Now multiplying the highest exponent prime factors to calculate the LCM of 29955 and 29961.

LCM(29955,29961) = 32 × 51 × 19971 × 33291
LCM(29955,29961) = 299160585