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What is the Least Common Multiple of 76164 and 76181?

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 76164 and 76181 is 5802249684.

LCM(76164,76181) = 5802249684

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Least Common Multiple of 76164 and 76181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76164 and 76181, than apply into the LCM equation.

GCF(76164,76181) = 1
LCM(76164,76181) = ( 76164 × 76181) / 1
LCM(76164,76181) = 5802249684 / 1
LCM(76164,76181) = 5802249684

Least Common Multiple (LCM) of 76164 and 76181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76164 and 76181. First we will calculate the prime factors of 76164 and 76181.

Prime Factorization of 76164

Prime factors of 76164 are 2, 3, 11, 577. Prime factorization of 76164 in exponential form is:

76164 = 22 × 31 × 111 × 5771

Prime Factorization of 76181

Prime factors of 76181 are 7, 10883. Prime factorization of 76181 in exponential form is:

76181 = 71 × 108831

Now multiplying the highest exponent prime factors to calculate the LCM of 76164 and 76181.

LCM(76164,76181) = 22 × 31 × 111 × 5771 × 71 × 108831
LCM(76164,76181) = 5802249684