What is the Least Common Multiple of 58837 and 58843?
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 58837 and 58843 is 3462145591.
LCM(58837,58843) = 3462145591
Least Common Multiple of 58837 and 58843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58837 and 58843, than apply into the LCM equation.
GCF(58837,58843) = 1
LCM(58837,58843) = ( 58837 × 58843) / 1
LCM(58837,58843) = 3462145591 / 1
LCM(58837,58843) = 3462145591
Least Common Multiple (LCM) of 58837 and 58843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58837 and 58843. First we will calculate the prime factors of 58837 and 58843.
Prime Factorization of 58837
Prime factors of 58837 are 17, 3461. Prime factorization of 58837 in exponential form is:
58837 = 171 × 34611
Prime Factorization of 58843
Prime factors of 58843 are 19, 163. Prime factorization of 58843 in exponential form is:
58843 = 192 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 58837 and 58843.
LCM(58837,58843) = 171 × 34611 × 192 × 1631
LCM(58837,58843) = 3462145591
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