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What is the Least Common Multiple of 68069 and 68083?

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 68069 and 68083 is 4634341727.

LCM(68069,68083) = 4634341727

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Least Common Multiple of 68069 and 68083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68069 and 68083, than apply into the LCM equation.

GCF(68069,68083) = 1
LCM(68069,68083) = ( 68069 × 68083) / 1
LCM(68069,68083) = 4634341727 / 1
LCM(68069,68083) = 4634341727

Least Common Multiple (LCM) of 68069 and 68083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68069 and 68083. First we will calculate the prime factors of 68069 and 68083.

Prime Factorization of 68069

Prime factors of 68069 are 43, 1583. Prime factorization of 68069 in exponential form is:

68069 = 431 × 15831

Prime Factorization of 68083

Prime factors of 68083 are 103, 661. Prime factorization of 68083 in exponential form is:

68083 = 1031 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 68069 and 68083.

LCM(68069,68083) = 431 × 15831 × 1031 × 6611
LCM(68069,68083) = 4634341727