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What is the Least Common Multiple of 25030 and 25037?

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 25030 and 25037 is 626676110.

LCM(25030,25037) = 626676110

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Least Common Multiple of 25030 and 25037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25030 and 25037, than apply into the LCM equation.

GCF(25030,25037) = 1
LCM(25030,25037) = ( 25030 × 25037) / 1
LCM(25030,25037) = 626676110 / 1
LCM(25030,25037) = 626676110

Least Common Multiple (LCM) of 25030 and 25037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25030 and 25037. First we will calculate the prime factors of 25030 and 25037.

Prime Factorization of 25030

Prime factors of 25030 are 2, 5, 2503. Prime factorization of 25030 in exponential form is:

25030 = 21 × 51 × 25031

Prime Factorization of 25037

Prime factors of 25037 are 25037. Prime factorization of 25037 in exponential form is:

25037 = 250371

Now multiplying the highest exponent prime factors to calculate the LCM of 25030 and 25037.

LCM(25030,25037) = 21 × 51 × 25031 × 250371
LCM(25030,25037) = 626676110