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What is the Least Common Multiple of 52187 and 52207?

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 52187 and 52207 is 2724526709.

LCM(52187,52207) = 2724526709

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Least Common Multiple of 52187 and 52207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52187 and 52207, than apply into the LCM equation.

GCF(52187,52207) = 1
LCM(52187,52207) = ( 52187 × 52207) / 1
LCM(52187,52207) = 2724526709 / 1
LCM(52187,52207) = 2724526709

Least Common Multiple (LCM) of 52187 and 52207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52187 and 52207. First we will calculate the prime factors of 52187 and 52207.

Prime Factorization of 52187

Prime factors of 52187 are 23, 2269. Prime factorization of 52187 in exponential form is:

52187 = 231 × 22691

Prime Factorization of 52207

Prime factors of 52207 are 17, 37, 83. Prime factorization of 52207 in exponential form is:

52207 = 171 × 371 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 52187 and 52207.

LCM(52187,52207) = 231 × 22691 × 171 × 371 × 831
LCM(52187,52207) = 2724526709