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What is the Least Common Multiple of 25090 and 25100?

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 25090 and 25100 is 62975900.

LCM(25090,25100) = 62975900

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Least Common Multiple of 25090 and 25100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25090 and 25100, than apply into the LCM equation.

GCF(25090,25100) = 10
LCM(25090,25100) = ( 25090 × 25100) / 10
LCM(25090,25100) = 629759000 / 10
LCM(25090,25100) = 62975900

Least Common Multiple (LCM) of 25090 and 25100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25090 and 25100. First we will calculate the prime factors of 25090 and 25100.

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

Prime Factorization of 25100

Prime factors of 25100 are 2, 5, 251. Prime factorization of 25100 in exponential form is:

25100 = 22 × 52 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 25090 and 25100.

LCM(25090,25100) = 22 × 52 × 131 × 1931 × 2511
LCM(25090,25100) = 62975900