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What is the Least Common Multiple of 58153 and 58163?

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 58153 and 58163 is 3382352939.

LCM(58153,58163) = 3382352939

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Least Common Multiple of 58153 and 58163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58153 and 58163, than apply into the LCM equation.

GCF(58153,58163) = 1
LCM(58153,58163) = ( 58153 × 58163) / 1
LCM(58153,58163) = 3382352939 / 1
LCM(58153,58163) = 3382352939

Least Common Multiple (LCM) of 58153 and 58163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58153 and 58163. First we will calculate the prime factors of 58153 and 58163.

Prime Factorization of 58153

Prime factors of 58153 are 58153. Prime factorization of 58153 in exponential form is:

58153 = 581531

Prime Factorization of 58163

Prime factors of 58163 are 7, 1187. Prime factorization of 58163 in exponential form is:

58163 = 72 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 58153 and 58163.

LCM(58153,58163) = 581531 × 72 × 11871
LCM(58153,58163) = 3382352939