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What is the Least Common Multiple of 25973 and 25978?

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 25973 and 25978 is 674726594.

LCM(25973,25978) = 674726594

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Least Common Multiple of 25973 and 25978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25973 and 25978, than apply into the LCM equation.

GCF(25973,25978) = 1
LCM(25973,25978) = ( 25973 × 25978) / 1
LCM(25973,25978) = 674726594 / 1
LCM(25973,25978) = 674726594

Least Common Multiple (LCM) of 25973 and 25978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25973 and 25978. First we will calculate the prime factors of 25973 and 25978.

Prime Factorization of 25973

Prime factors of 25973 are 19, 1367. Prime factorization of 25973 in exponential form is:

25973 = 191 × 13671

Prime Factorization of 25978

Prime factors of 25978 are 2, 31, 419. Prime factorization of 25978 in exponential form is:

25978 = 21 × 311 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 25973 and 25978.

LCM(25973,25978) = 191 × 13671 × 21 × 311 × 4191
LCM(25973,25978) = 674726594