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What is the Least Common Multiple of 29961 and 29971?

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 29961 and 29971 is 897961131.

LCM(29961,29971) = 897961131

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Least Common Multiple of 29961 and 29971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29961 and 29971, than apply into the LCM equation.

GCF(29961,29971) = 1
LCM(29961,29971) = ( 29961 × 29971) / 1
LCM(29961,29971) = 897961131 / 1
LCM(29961,29971) = 897961131

Least Common Multiple (LCM) of 29961 and 29971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29961 and 29971. First we will calculate the prime factors of 29961 and 29971.

Prime Factorization of 29961

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

29961 = 32 × 33291

Prime Factorization of 29971

Prime factors of 29971 are 17, 41, 43. Prime factorization of 29971 in exponential form is:

29971 = 171 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 29961 and 29971.

LCM(29961,29971) = 32 × 33291 × 171 × 411 × 431
LCM(29961,29971) = 897961131