GCF and LCM Calculator Logo

What is the Least Common Multiple of 6205 and 6225?

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 6205 and 6225 is 7725225.

LCM(6205,6225) = 7725225

LCM Calculator and
and

Least Common Multiple of 6205 and 6225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6205 and 6225, than apply into the LCM equation.

GCF(6205,6225) = 5
LCM(6205,6225) = ( 6205 × 6225) / 5
LCM(6205,6225) = 38626125 / 5
LCM(6205,6225) = 7725225

Least Common Multiple (LCM) of 6205 and 6225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6205 and 6225. First we will calculate the prime factors of 6205 and 6225.

Prime Factorization of 6205

Prime factors of 6205 are 5, 17, 73. Prime factorization of 6205 in exponential form is:

6205 = 51 × 171 × 731

Prime Factorization of 6225

Prime factors of 6225 are 3, 5, 83. Prime factorization of 6225 in exponential form is:

6225 = 31 × 52 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 6205 and 6225.

LCM(6205,6225) = 52 × 171 × 731 × 31 × 831
LCM(6205,6225) = 7725225