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What is the Least Common Multiple of 25742 and 25757?

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 25757 is 663036694.

LCM(25742,25757) = 663036694

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Least Common Multiple of 25742 and 25757 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 25757, than apply into the LCM equation.

GCF(25742,25757) = 1
LCM(25742,25757) = ( 25742 × 25757) / 1
LCM(25742,25757) = 663036694 / 1
LCM(25742,25757) = 663036694

Least Common Multiple (LCM) of 25742 and 25757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25742 and 25757. First we will calculate the prime factors of 25742 and 25757.

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 25757

Prime factors of 25757 are 43, 599. Prime factorization of 25757 in exponential form is:

25757 = 431 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 25742 and 25757.

LCM(25742,25757) = 21 × 611 × 2111 × 431 × 5991
LCM(25742,25757) = 663036694