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What is the Least Common Multiple of 29958 and 29973?

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 29958 and 29973 is 299310378.

LCM(29958,29973) = 299310378

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Least Common Multiple of 29958 and 29973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29958 and 29973, than apply into the LCM equation.

GCF(29958,29973) = 3
LCM(29958,29973) = ( 29958 × 29973) / 3
LCM(29958,29973) = 897931134 / 3
LCM(29958,29973) = 299310378

Least Common Multiple (LCM) of 29958 and 29973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29958 and 29973. First we will calculate the prime factors of 29958 and 29973.

Prime Factorization of 29958

Prime factors of 29958 are 2, 3, 4993. Prime factorization of 29958 in exponential form is:

29958 = 21 × 31 × 49931

Prime Factorization of 29973

Prime factors of 29973 are 3, 97, 103. Prime factorization of 29973 in exponential form is:

29973 = 31 × 971 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 29958 and 29973.

LCM(29958,29973) = 21 × 31 × 49931 × 971 × 1031
LCM(29958,29973) = 299310378