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What is the Least Common Multiple of 58867 and 58883?

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 58867 and 58883 is 3466265561.

LCM(58867,58883) = 3466265561

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Least Common Multiple of 58867 and 58883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58867 and 58883, than apply into the LCM equation.

GCF(58867,58883) = 1
LCM(58867,58883) = ( 58867 × 58883) / 1
LCM(58867,58883) = 3466265561 / 1
LCM(58867,58883) = 3466265561

Least Common Multiple (LCM) of 58867 and 58883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58867 and 58883. First we will calculate the prime factors of 58867 and 58883.

Prime Factorization of 58867

Prime factors of 58867 are 37, 43. Prime factorization of 58867 in exponential form is:

58867 = 372 × 431

Prime Factorization of 58883

Prime factors of 58883 are 11, 53, 101. Prime factorization of 58883 in exponential form is:

58883 = 111 × 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 58867 and 58883.

LCM(58867,58883) = 372 × 431 × 111 × 531 × 1011
LCM(58867,58883) = 3466265561