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What is the Least Common Multiple of 77190 and 77201?

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 77190 and 77201 is 5959145190.

LCM(77190,77201) = 5959145190

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Least Common Multiple of 77190 and 77201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77190 and 77201, than apply into the LCM equation.

GCF(77190,77201) = 1
LCM(77190,77201) = ( 77190 × 77201) / 1
LCM(77190,77201) = 5959145190 / 1
LCM(77190,77201) = 5959145190

Least Common Multiple (LCM) of 77190 and 77201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77190 and 77201. First we will calculate the prime factors of 77190 and 77201.

Prime Factorization of 77190

Prime factors of 77190 are 2, 3, 5, 31, 83. Prime factorization of 77190 in exponential form is:

77190 = 21 × 31 × 51 × 311 × 831

Prime Factorization of 77201

Prime factors of 77201 are 77201. Prime factorization of 77201 in exponential form is:

77201 = 772011

Now multiplying the highest exponent prime factors to calculate the LCM of 77190 and 77201.

LCM(77190,77201) = 21 × 31 × 51 × 311 × 831 × 772011
LCM(77190,77201) = 5959145190