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What is the Least Common Multiple of 68538 and 68556?

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 68538 and 68556 is 783115188.

LCM(68538,68556) = 783115188

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Least Common Multiple of 68538 and 68556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68538 and 68556, than apply into the LCM equation.

GCF(68538,68556) = 6
LCM(68538,68556) = ( 68538 × 68556) / 6
LCM(68538,68556) = 4698691128 / 6
LCM(68538,68556) = 783115188

Least Common Multiple (LCM) of 68538 and 68556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68538 and 68556. First we will calculate the prime factors of 68538 and 68556.

Prime Factorization of 68538

Prime factors of 68538 are 2, 3, 11423. Prime factorization of 68538 in exponential form is:

68538 = 21 × 31 × 114231

Prime Factorization of 68556

Prime factors of 68556 are 2, 3, 29, 197. Prime factorization of 68556 in exponential form is:

68556 = 22 × 31 × 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 68538 and 68556.

LCM(68538,68556) = 22 × 31 × 114231 × 291 × 1971
LCM(68538,68556) = 783115188