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What is the Least Common Multiple of 68578 and 68596?

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 68578 and 68596 is 2352088244.

LCM(68578,68596) = 2352088244

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Least Common Multiple of 68578 and 68596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68578 and 68596, than apply into the LCM equation.

GCF(68578,68596) = 2
LCM(68578,68596) = ( 68578 × 68596) / 2
LCM(68578,68596) = 4704176488 / 2
LCM(68578,68596) = 2352088244

Least Common Multiple (LCM) of 68578 and 68596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68578 and 68596. First we will calculate the prime factors of 68578 and 68596.

Prime Factorization of 68578

Prime factors of 68578 are 2, 17, 2017. Prime factorization of 68578 in exponential form is:

68578 = 21 × 171 × 20171

Prime Factorization of 68596

Prime factors of 68596 are 2, 11, 1559. Prime factorization of 68596 in exponential form is:

68596 = 22 × 111 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 68578 and 68596.

LCM(68578,68596) = 22 × 171 × 20171 × 111 × 15591
LCM(68578,68596) = 2352088244