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What is the Least Common Multiple of 74158 and 74165?

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 74158 and 74165 is 785704010.

LCM(74158,74165) = 785704010

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Least Common Multiple of 74158 and 74165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74158 and 74165, than apply into the LCM equation.

GCF(74158,74165) = 7
LCM(74158,74165) = ( 74158 × 74165) / 7
LCM(74158,74165) = 5499928070 / 7
LCM(74158,74165) = 785704010

Least Common Multiple (LCM) of 74158 and 74165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74158 and 74165. First we will calculate the prime factors of 74158 and 74165.

Prime Factorization of 74158

Prime factors of 74158 are 2, 7, 5297. Prime factorization of 74158 in exponential form is:

74158 = 21 × 71 × 52971

Prime Factorization of 74165

Prime factors of 74165 are 5, 7, 13, 163. Prime factorization of 74165 in exponential form is:

74165 = 51 × 71 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 74158 and 74165.

LCM(74158,74165) = 21 × 71 × 52971 × 51 × 131 × 1631
LCM(74158,74165) = 785704010