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What is the Least Common Multiple of 25438 and 25443?

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 25438 and 25443 is 647219034.

LCM(25438,25443) = 647219034

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Least Common Multiple of 25438 and 25443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25438 and 25443, than apply into the LCM equation.

GCF(25438,25443) = 1
LCM(25438,25443) = ( 25438 × 25443) / 1
LCM(25438,25443) = 647219034 / 1
LCM(25438,25443) = 647219034

Least Common Multiple (LCM) of 25438 and 25443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25438 and 25443. First we will calculate the prime factors of 25438 and 25443.

Prime Factorization of 25438

Prime factors of 25438 are 2, 7, 23, 79. Prime factorization of 25438 in exponential form is:

25438 = 21 × 71 × 231 × 791

Prime Factorization of 25443

Prime factors of 25443 are 3, 11, 257. Prime factorization of 25443 in exponential form is:

25443 = 32 × 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 25438 and 25443.

LCM(25438,25443) = 21 × 71 × 231 × 791 × 32 × 111 × 2571
LCM(25438,25443) = 647219034