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What is the Least Common Multiple of 34537 and 34555?

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 34537 and 34555 is 1193426035.

LCM(34537,34555) = 1193426035

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Least Common Multiple of 34537 and 34555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34537 and 34555, than apply into the LCM equation.

GCF(34537,34555) = 1
LCM(34537,34555) = ( 34537 × 34555) / 1
LCM(34537,34555) = 1193426035 / 1
LCM(34537,34555) = 1193426035

Least Common Multiple (LCM) of 34537 and 34555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34537 and 34555. First we will calculate the prime factors of 34537 and 34555.

Prime Factorization of 34537

Prime factors of 34537 are 34537. Prime factorization of 34537 in exponential form is:

34537 = 345371

Prime Factorization of 34555

Prime factors of 34555 are 5, 6911. Prime factorization of 34555 in exponential form is:

34555 = 51 × 69111

Now multiplying the highest exponent prime factors to calculate the LCM of 34537 and 34555.

LCM(34537,34555) = 345371 × 51 × 69111
LCM(34537,34555) = 1193426035