GCF and LCM Calculator Logo

What is the Least Common Multiple of 25205 and 25222?

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 25205 and 25222 is 635720510.

LCM(25205,25222) = 635720510

LCM Calculator and
and

Least Common Multiple of 25205 and 25222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25205 and 25222, than apply into the LCM equation.

GCF(25205,25222) = 1
LCM(25205,25222) = ( 25205 × 25222) / 1
LCM(25205,25222) = 635720510 / 1
LCM(25205,25222) = 635720510

Least Common Multiple (LCM) of 25205 and 25222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25205 and 25222. First we will calculate the prime factors of 25205 and 25222.

Prime Factorization of 25205

Prime factors of 25205 are 5, 71. Prime factorization of 25205 in exponential form is:

25205 = 51 × 712

Prime Factorization of 25222

Prime factors of 25222 are 2, 12611. Prime factorization of 25222 in exponential form is:

25222 = 21 × 126111

Now multiplying the highest exponent prime factors to calculate the LCM of 25205 and 25222.

LCM(25205,25222) = 51 × 712 × 21 × 126111
LCM(25205,25222) = 635720510