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What is the Least Common Multiple of 25742 and 25754?

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 25742 and 25754 is 331479734.

LCM(25742,25754) = 331479734

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Least Common Multiple of 25742 and 25754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25742 and 25754, than apply into the LCM equation.

GCF(25742,25754) = 2
LCM(25742,25754) = ( 25742 × 25754) / 2
LCM(25742,25754) = 662959468 / 2
LCM(25742,25754) = 331479734

Least Common Multiple (LCM) of 25742 and 25754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25742 and 25754. First we will calculate the prime factors of 25742 and 25754.

Prime Factorization of 25742

Prime factors of 25742 are 2, 61, 211. Prime factorization of 25742 in exponential form is:

25742 = 21 × 611 × 2111

Prime Factorization of 25754

Prime factors of 25754 are 2, 79, 163. Prime factorization of 25754 in exponential form is:

25754 = 21 × 791 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 25742 and 25754.

LCM(25742,25754) = 21 × 611 × 2111 × 791 × 1631
LCM(25742,25754) = 331479734