GCF and LCM Calculator Logo

Least Common Multiple of 6 and 25

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 6 and 25 is 150.

LCM(6,25) = 150

LCM Calculator and

Least Common Multiple of 6 and 25 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6 and 25, than apply into the LCM equation.

GCF(6,25) = 1
LCM(6,25) = ( 6 × 25) / 1
LCM(6,25) = 150 / 1
LCM(6,25) = 150

Least Common Multiple (LCM) of 6 and 25 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6 and 25. First we will calculate the prime factors of 6 and 25.

Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 21 × 31

Prime Factorization of 25

Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:

25 = 52

Now multiplying the highest exponent prime factors to calculate the LCM of 6 and 25.

LCM(6,25) = 21 × 31 × 52
LCM(6,25) = 150

Recent Comments
Anonymous 2018-12-01 07:23:36

Thank you! I was really confused at first, but then i saw this. This site is really great
~anonymous :)

Timmy Jordan 2018-09-12 15:50:38

This really helped, thanks alot.

Please share your comments

This website uses cookies to collect information about how you interact with our website. We use this information in order to improve and customize your browsing experience and for analytics and metrics about our visitors. To find out more about the cookies we use, see our Privacy Policy.