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What is the Least Common Multiple of 25074 and 25087?

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 25074 and 25087 is 629031438.

LCM(25074,25087) = 629031438

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Least Common Multiple of 25074 and 25087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25074 and 25087, than apply into the LCM equation.

GCF(25074,25087) = 1
LCM(25074,25087) = ( 25074 × 25087) / 1
LCM(25074,25087) = 629031438 / 1
LCM(25074,25087) = 629031438

Least Common Multiple (LCM) of 25074 and 25087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25074 and 25087. First we will calculate the prime factors of 25074 and 25087.

Prime Factorization of 25074

Prime factors of 25074 are 2, 3, 7, 199. Prime factorization of 25074 in exponential form is:

25074 = 21 × 32 × 71 × 1991

Prime Factorization of 25087

Prime factors of 25087 are 25087. Prime factorization of 25087 in exponential form is:

25087 = 250871

Now multiplying the highest exponent prime factors to calculate the LCM of 25074 and 25087.

LCM(25074,25087) = 21 × 32 × 71 × 1991 × 250871
LCM(25074,25087) = 629031438