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What is the Least Common Multiple of 25061 and 25066?

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 25061 and 25066 is 628179026.

LCM(25061,25066) = 628179026

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Least Common Multiple of 25061 and 25066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25061 and 25066, than apply into the LCM equation.

GCF(25061,25066) = 1
LCM(25061,25066) = ( 25061 × 25066) / 1
LCM(25061,25066) = 628179026 / 1
LCM(25061,25066) = 628179026

Least Common Multiple (LCM) of 25061 and 25066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25061 and 25066. First we will calculate the prime factors of 25061 and 25066.

Prime Factorization of 25061

Prime factors of 25061 are 19, 1319. Prime factorization of 25061 in exponential form is:

25061 = 191 × 13191

Prime Factorization of 25066

Prime factors of 25066 are 2, 83, 151. Prime factorization of 25066 in exponential form is:

25066 = 21 × 831 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 25061 and 25066.

LCM(25061,25066) = 191 × 13191 × 21 × 831 × 1511
LCM(25061,25066) = 628179026