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What is the Least Common Multiple of 25242 and 25258?

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 25242 and 25258 is 318781218.

LCM(25242,25258) = 318781218

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Least Common Multiple of 25242 and 25258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25242 and 25258, than apply into the LCM equation.

GCF(25242,25258) = 2
LCM(25242,25258) = ( 25242 × 25258) / 2
LCM(25242,25258) = 637562436 / 2
LCM(25242,25258) = 318781218

Least Common Multiple (LCM) of 25242 and 25258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25242 and 25258. First we will calculate the prime factors of 25242 and 25258.

Prime Factorization of 25242

Prime factors of 25242 are 2, 3, 7, 601. Prime factorization of 25242 in exponential form is:

25242 = 21 × 31 × 71 × 6011

Prime Factorization of 25258

Prime factors of 25258 are 2, 73, 173. Prime factorization of 25258 in exponential form is:

25258 = 21 × 731 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 25242 and 25258.

LCM(25242,25258) = 21 × 31 × 71 × 6011 × 731 × 1731
LCM(25242,25258) = 318781218