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What is the Least Common Multiple of 79154 and 79163?

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 79163 is 6266068102.

LCM(79154,79163) = 6266068102

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Least Common Multiple of 79154 and 79163 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 79163, than apply into the LCM equation.

GCF(79154,79163) = 1
LCM(79154,79163) = ( 79154 × 79163) / 1
LCM(79154,79163) = 6266068102 / 1
LCM(79154,79163) = 6266068102

Least Common Multiple (LCM) of 79154 and 79163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79154 and 79163. First we will calculate the prime factors of 79154 and 79163.

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 79163

Prime factors of 79163 are 7, 43, 263. Prime factorization of 79163 in exponential form is:

79163 = 71 × 431 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 79154 and 79163.

LCM(79154,79163) = 21 × 191 × 20831 × 71 × 431 × 2631
LCM(79154,79163) = 6266068102