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What is the Least Common Multiple of 25082 and 25092?

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 25082 and 25092 is 314678772.

LCM(25082,25092) = 314678772

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Least Common Multiple of 25082 and 25092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25082 and 25092, than apply into the LCM equation.

GCF(25082,25092) = 2
LCM(25082,25092) = ( 25082 × 25092) / 2
LCM(25082,25092) = 629357544 / 2
LCM(25082,25092) = 314678772

Least Common Multiple (LCM) of 25082 and 25092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25082 and 25092. First we will calculate the prime factors of 25082 and 25092.

Prime Factorization of 25082

Prime factors of 25082 are 2, 12541. Prime factorization of 25082 in exponential form is:

25082 = 21 × 125411

Prime Factorization of 25092

Prime factors of 25092 are 2, 3, 17, 41. Prime factorization of 25092 in exponential form is:

25092 = 22 × 32 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 25082 and 25092.

LCM(25082,25092) = 22 × 125411 × 32 × 171 × 411
LCM(25082,25092) = 314678772