What is the Least Common Multiple of 58868 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 58868 and 58883 is 3466324444.
LCM(58868,58883) = 3466324444
Least Common Multiple of 58868 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 58868 and 58883, than apply into the LCM equation.
GCF(58868,58883) = 1
LCM(58868,58883) = ( 58868 × 58883) / 1
LCM(58868,58883) = 3466324444 / 1
LCM(58868,58883) = 3466324444
Least Common Multiple (LCM) of 58868 and 58883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58868 and 58883. First we will calculate the prime factors of 58868 and 58883.
Prime Factorization of 58868
Prime factors of 58868 are 2, 14717. Prime factorization of 58868 in exponential form is:
58868 = 22 × 147171
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 58868 and 58883.
LCM(58868,58883) = 22 × 147171 × 111 × 531 × 1011
LCM(58868,58883) = 3466324444
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