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What is the Least Common Multiple of 25778 and 25793?

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 25778 and 25793 is 664891954.

LCM(25778,25793) = 664891954

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Least Common Multiple of 25778 and 25793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25778 and 25793, than apply into the LCM equation.

GCF(25778,25793) = 1
LCM(25778,25793) = ( 25778 × 25793) / 1
LCM(25778,25793) = 664891954 / 1
LCM(25778,25793) = 664891954

Least Common Multiple (LCM) of 25778 and 25793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25778 and 25793. First we will calculate the prime factors of 25778 and 25793.

Prime Factorization of 25778

Prime factors of 25778 are 2, 12889. Prime factorization of 25778 in exponential form is:

25778 = 21 × 128891

Prime Factorization of 25793

Prime factors of 25793 are 25793. Prime factorization of 25793 in exponential form is:

25793 = 257931

Now multiplying the highest exponent prime factors to calculate the LCM of 25778 and 25793.

LCM(25778,25793) = 21 × 128891 × 257931
LCM(25778,25793) = 664891954