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What is the Least Common Multiple of 68600 and 68610?

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 68600 and 68610 is 470664600.

LCM(68600,68610) = 470664600

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Least Common Multiple of 68600 and 68610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68600 and 68610, than apply into the LCM equation.

GCF(68600,68610) = 10
LCM(68600,68610) = ( 68600 × 68610) / 10
LCM(68600,68610) = 4706646000 / 10
LCM(68600,68610) = 470664600

Least Common Multiple (LCM) of 68600 and 68610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68600 and 68610. First we will calculate the prime factors of 68600 and 68610.

Prime Factorization of 68600

Prime factors of 68600 are 2, 5, 7. Prime factorization of 68600 in exponential form is:

68600 = 23 × 52 × 73

Prime Factorization of 68610

Prime factors of 68610 are 2, 3, 5, 2287. Prime factorization of 68610 in exponential form is:

68610 = 21 × 31 × 51 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 68600 and 68610.

LCM(68600,68610) = 23 × 52 × 73 × 31 × 22871
LCM(68600,68610) = 470664600