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What is the Least Common Multiple of 76181 and 76201?

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 76181 and 76201 is 5805068381.

LCM(76181,76201) = 5805068381

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Least Common Multiple of 76181 and 76201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76181 and 76201, than apply into the LCM equation.

GCF(76181,76201) = 1
LCM(76181,76201) = ( 76181 × 76201) / 1
LCM(76181,76201) = 5805068381 / 1
LCM(76181,76201) = 5805068381

Least Common Multiple (LCM) of 76181 and 76201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76181 and 76201. First we will calculate the prime factors of 76181 and 76201.

Prime Factorization of 76181

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

76181 = 71 × 108831

Prime Factorization of 76201

Prime factors of 76201 are 181, 421. Prime factorization of 76201 in exponential form is:

76201 = 1811 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 76181 and 76201.

LCM(76181,76201) = 71 × 108831 × 1811 × 4211
LCM(76181,76201) = 5805068381