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What is the Least Common Multiple of 25123 and 25128?

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 25123 and 25128 is 631290744.

LCM(25123,25128) = 631290744

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Least Common Multiple of 25123 and 25128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25123 and 25128, than apply into the LCM equation.

GCF(25123,25128) = 1
LCM(25123,25128) = ( 25123 × 25128) / 1
LCM(25123,25128) = 631290744 / 1
LCM(25123,25128) = 631290744

Least Common Multiple (LCM) of 25123 and 25128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25123 and 25128. First we will calculate the prime factors of 25123 and 25128.

Prime Factorization of 25123

Prime factors of 25123 are 7, 37, 97. Prime factorization of 25123 in exponential form is:

25123 = 71 × 371 × 971

Prime Factorization of 25128

Prime factors of 25128 are 2, 3, 349. Prime factorization of 25128 in exponential form is:

25128 = 23 × 32 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 25123 and 25128.

LCM(25123,25128) = 71 × 371 × 971 × 23 × 32 × 3491
LCM(25123,25128) = 631290744