GCF and LCM Calculator Logo

What is the Least Common Multiple of 29980 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 29980 and 29988 is 224760060.

LCM(29980,29988) = 224760060

LCM Calculator and
and

Least Common Multiple of 29980 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 29980 and 29988, than apply into the LCM equation.

GCF(29980,29988) = 4
LCM(29980,29988) = ( 29980 × 29988) / 4
LCM(29980,29988) = 899040240 / 4
LCM(29980,29988) = 224760060

Least Common Multiple (LCM) of 29980 and 29988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29980 and 29988. First we will calculate the prime factors of 29980 and 29988.

Prime Factorization of 29980

Prime factors of 29980 are 2, 5, 1499. Prime factorization of 29980 in exponential form is:

29980 = 22 × 51 × 14991

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 29980 and 29988.

LCM(29980,29988) = 22 × 51 × 14991 × 32 × 72 × 171
LCM(29980,29988) = 224760060