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What is the Least Common Multiple of 79154 and 79161?

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 79154 and 79161 is 6265909794.

LCM(79154,79161) = 6265909794

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Least Common Multiple of 79154 and 79161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79154 and 79161, than apply into the LCM equation.

GCF(79154,79161) = 1
LCM(79154,79161) = ( 79154 × 79161) / 1
LCM(79154,79161) = 6265909794 / 1
LCM(79154,79161) = 6265909794

Least Common Multiple (LCM) of 79154 and 79161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79154 and 79161. First we will calculate the prime factors of 79154 and 79161.

Prime Factorization of 79154

Prime factors of 79154 are 2, 19, 2083. Prime factorization of 79154 in exponential form is:

79154 = 21 × 191 × 20831

Prime Factorization of 79161

Prime factors of 79161 are 3, 26387. Prime factorization of 79161 in exponential form is:

79161 = 31 × 263871

Now multiplying the highest exponent prime factors to calculate the LCM of 79154 and 79161.

LCM(79154,79161) = 21 × 191 × 20831 × 31 × 263871
LCM(79154,79161) = 6265909794