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What is the Least Common Multiple of 25073 and 25080?

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 25073 and 25080 is 628830840.

LCM(25073,25080) = 628830840

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Least Common Multiple of 25073 and 25080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25073 and 25080, than apply into the LCM equation.

GCF(25073,25080) = 1
LCM(25073,25080) = ( 25073 × 25080) / 1
LCM(25073,25080) = 628830840 / 1
LCM(25073,25080) = 628830840

Least Common Multiple (LCM) of 25073 and 25080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25073 and 25080. First we will calculate the prime factors of 25073 and 25080.

Prime Factorization of 25073

Prime factors of 25073 are 25073. Prime factorization of 25073 in exponential form is:

25073 = 250731

Prime Factorization of 25080

Prime factors of 25080 are 2, 3, 5, 11, 19. Prime factorization of 25080 in exponential form is:

25080 = 23 × 31 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 25073 and 25080.

LCM(25073,25080) = 250731 × 23 × 31 × 51 × 111 × 191
LCM(25073,25080) = 628830840