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What is the Least Common Multiple of 58061 and 58081?

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 58061 and 58081 is 3372240941.

LCM(58061,58081) = 3372240941

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Least Common Multiple of 58061 and 58081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58061 and 58081, than apply into the LCM equation.

GCF(58061,58081) = 1
LCM(58061,58081) = ( 58061 × 58081) / 1
LCM(58061,58081) = 3372240941 / 1
LCM(58061,58081) = 3372240941

Least Common Multiple (LCM) of 58061 and 58081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58061 and 58081. First we will calculate the prime factors of 58061 and 58081.

Prime Factorization of 58061

Prime factors of 58061 are 58061. Prime factorization of 58061 in exponential form is:

58061 = 580611

Prime Factorization of 58081

Prime factors of 58081 are 241. Prime factorization of 58081 in exponential form is:

58081 = 2412

Now multiplying the highest exponent prime factors to calculate the LCM of 58061 and 58081.

LCM(58061,58081) = 580611 × 2412
LCM(58061,58081) = 3372240941