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What is the Least Common Multiple of 68583 and 68599?

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 68583 and 68599 is 4704725217.

LCM(68583,68599) = 4704725217

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Least Common Multiple of 68583 and 68599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68583 and 68599, than apply into the LCM equation.

GCF(68583,68599) = 1
LCM(68583,68599) = ( 68583 × 68599) / 1
LCM(68583,68599) = 4704725217 / 1
LCM(68583,68599) = 4704725217

Least Common Multiple (LCM) of 68583 and 68599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68583 and 68599. First we will calculate the prime factors of 68583 and 68599.

Prime Factorization of 68583

Prime factors of 68583 are 3, 22861. Prime factorization of 68583 in exponential form is:

68583 = 31 × 228611

Prime Factorization of 68599

Prime factors of 68599 are 181, 379. Prime factorization of 68599 in exponential form is:

68599 = 1811 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 68583 and 68599.

LCM(68583,68599) = 31 × 228611 × 1811 × 3791
LCM(68583,68599) = 4704725217