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What is the Least Common Multiple of 68604 and 68611?

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 68604 and 68611 is 4706989044.

LCM(68604,68611) = 4706989044

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Least Common Multiple of 68604 and 68611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68604 and 68611, than apply into the LCM equation.

GCF(68604,68611) = 1
LCM(68604,68611) = ( 68604 × 68611) / 1
LCM(68604,68611) = 4706989044 / 1
LCM(68604,68611) = 4706989044

Least Common Multiple (LCM) of 68604 and 68611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68604 and 68611. First we will calculate the prime factors of 68604 and 68611.

Prime Factorization of 68604

Prime factors of 68604 are 2, 3, 5717. Prime factorization of 68604 in exponential form is:

68604 = 22 × 31 × 57171

Prime Factorization of 68611

Prime factors of 68611 are 68611. Prime factorization of 68611 in exponential form is:

68611 = 686111

Now multiplying the highest exponent prime factors to calculate the LCM of 68604 and 68611.

LCM(68604,68611) = 22 × 31 × 57171 × 686111
LCM(68604,68611) = 4706989044