GCF and LCM Calculator Logo

What is the Least Common Multiple of 29825 and 29840?

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 29825 and 29840 is 177995600.

LCM(29825,29840) = 177995600

LCM Calculator and
and

Least Common Multiple of 29825 and 29840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29825 and 29840, than apply into the LCM equation.

GCF(29825,29840) = 5
LCM(29825,29840) = ( 29825 × 29840) / 5
LCM(29825,29840) = 889978000 / 5
LCM(29825,29840) = 177995600

Least Common Multiple (LCM) of 29825 and 29840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29825 and 29840. First we will calculate the prime factors of 29825 and 29840.

Prime Factorization of 29825

Prime factors of 29825 are 5, 1193. Prime factorization of 29825 in exponential form is:

29825 = 52 × 11931

Prime Factorization of 29840

Prime factors of 29840 are 2, 5, 373. Prime factorization of 29840 in exponential form is:

29840 = 24 × 51 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 29825 and 29840.

LCM(29825,29840) = 52 × 11931 × 24 × 3731
LCM(29825,29840) = 177995600