What is the 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
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