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What is the Least Common Multiple of 76163 and 76183?

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 76163 and 76183 is 5802325829.

LCM(76163,76183) = 5802325829

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Least Common Multiple of 76163 and 76183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76163 and 76183, than apply into the LCM equation.

GCF(76163,76183) = 1
LCM(76163,76183) = ( 76163 × 76183) / 1
LCM(76163,76183) = 5802325829 / 1
LCM(76163,76183) = 5802325829

Least Common Multiple (LCM) of 76163 and 76183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76163 and 76183. First we will calculate the prime factors of 76163 and 76183.

Prime Factorization of 76163

Prime factors of 76163 are 76163. Prime factorization of 76163 in exponential form is:

76163 = 761631

Prime Factorization of 76183

Prime factors of 76183 are 29, 37, 71. Prime factorization of 76183 in exponential form is:

76183 = 291 × 371 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 76163 and 76183.

LCM(76163,76183) = 761631 × 291 × 371 × 711
LCM(76163,76183) = 5802325829