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What is the Least Common Multiple of 25948 and 25962?

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 25948 and 25962 is 336830988.

LCM(25948,25962) = 336830988

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Least Common Multiple of 25948 and 25962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25948 and 25962, than apply into the LCM equation.

GCF(25948,25962) = 2
LCM(25948,25962) = ( 25948 × 25962) / 2
LCM(25948,25962) = 673661976 / 2
LCM(25948,25962) = 336830988

Least Common Multiple (LCM) of 25948 and 25962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25948 and 25962. First we will calculate the prime factors of 25948 and 25962.

Prime Factorization of 25948

Prime factors of 25948 are 2, 13, 499. Prime factorization of 25948 in exponential form is:

25948 = 22 × 131 × 4991

Prime Factorization of 25962

Prime factors of 25962 are 2, 3, 4327. Prime factorization of 25962 in exponential form is:

25962 = 21 × 31 × 43271

Now multiplying the highest exponent prime factors to calculate the LCM of 25948 and 25962.

LCM(25948,25962) = 22 × 131 × 4991 × 31 × 43271
LCM(25948,25962) = 336830988