What is the Least Common Multiple of 58908 and 58927?
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 58908 and 58927 is 3471271716.
LCM(58908,58927) = 3471271716
Least Common Multiple of 58908 and 58927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58908 and 58927, than apply into the LCM equation.
GCF(58908,58927) = 1
LCM(58908,58927) = ( 58908 × 58927) / 1
LCM(58908,58927) = 3471271716 / 1
LCM(58908,58927) = 3471271716
Least Common Multiple (LCM) of 58908 and 58927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58908 and 58927. First we will calculate the prime factors of 58908 and 58927.
Prime Factorization of 58908
Prime factors of 58908 are 2, 3, 4909. Prime factorization of 58908 in exponential form is:
58908 = 22 × 31 × 49091
Prime Factorization of 58927
Prime factors of 58927 are 11, 487. Prime factorization of 58927 in exponential form is:
58927 = 112 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 58908 and 58927.
LCM(58908,58927) = 22 × 31 × 49091 × 112 × 4871
LCM(58908,58927) = 3471271716
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