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What is the Least Common Multiple of 25076 and 25090?

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 25076 and 25090 is 314578420.

LCM(25076,25090) = 314578420

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Least Common Multiple of 25076 and 25090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25076 and 25090, than apply into the LCM equation.

GCF(25076,25090) = 2
LCM(25076,25090) = ( 25076 × 25090) / 2
LCM(25076,25090) = 629156840 / 2
LCM(25076,25090) = 314578420

Least Common Multiple (LCM) of 25076 and 25090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25076 and 25090. First we will calculate the prime factors of 25076 and 25090.

Prime Factorization of 25076

Prime factors of 25076 are 2, 6269. Prime factorization of 25076 in exponential form is:

25076 = 22 × 62691

Prime Factorization of 25090

Prime factors of 25090 are 2, 5, 13, 193. Prime factorization of 25090 in exponential form is:

25090 = 21 × 51 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 25076 and 25090.

LCM(25076,25090) = 22 × 62691 × 51 × 131 × 1931
LCM(25076,25090) = 314578420