GCF and LCM Calculator Logo

What is the Least Common Multiple of 29973 and 29988?

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 29973 and 29988 is 299610108.

LCM(29973,29988) = 299610108

LCM Calculator and
and

Least Common Multiple of 29973 and 29988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29973 and 29988, than apply into the LCM equation.

GCF(29973,29988) = 3
LCM(29973,29988) = ( 29973 × 29988) / 3
LCM(29973,29988) = 898830324 / 3
LCM(29973,29988) = 299610108

Least Common Multiple (LCM) of 29973 and 29988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29973 and 29988. First we will calculate the prime factors of 29973 and 29988.

Prime Factorization of 29973

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

29973 = 31 × 971 × 1031

Prime Factorization of 29988

Prime factors of 29988 are 2, 3, 7, 17. Prime factorization of 29988 in exponential form is:

29988 = 22 × 32 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 29973 and 29988.

LCM(29973,29988) = 32 × 971 × 1031 × 22 × 72 × 171
LCM(29973,29988) = 299610108