GCF and LCM Calculator Logo

What is the Least Common Multiple of 25332 and 25338?

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 25332 and 25338 is 106977036.

LCM(25332,25338) = 106977036

LCM Calculator and
and

Least Common Multiple of 25332 and 25338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25332 and 25338, than apply into the LCM equation.

GCF(25332,25338) = 6
LCM(25332,25338) = ( 25332 × 25338) / 6
LCM(25332,25338) = 641862216 / 6
LCM(25332,25338) = 106977036

Least Common Multiple (LCM) of 25332 and 25338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25332 and 25338. First we will calculate the prime factors of 25332 and 25338.

Prime Factorization of 25332

Prime factors of 25332 are 2, 3, 2111. Prime factorization of 25332 in exponential form is:

25332 = 22 × 31 × 21111

Prime Factorization of 25338

Prime factors of 25338 are 2, 3, 41, 103. Prime factorization of 25338 in exponential form is:

25338 = 21 × 31 × 411 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 25332 and 25338.

LCM(25332,25338) = 22 × 31 × 21111 × 411 × 1031
LCM(25332,25338) = 106977036