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What is the Least Common Multiple of 68739 and 68747?

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 68739 and 68747 is 4725600033.

LCM(68739,68747) = 4725600033

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Least Common Multiple of 68739 and 68747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68739 and 68747, than apply into the LCM equation.

GCF(68739,68747) = 1
LCM(68739,68747) = ( 68739 × 68747) / 1
LCM(68739,68747) = 4725600033 / 1
LCM(68739,68747) = 4725600033

Least Common Multiple (LCM) of 68739 and 68747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68739 and 68747. First we will calculate the prime factors of 68739 and 68747.

Prime Factorization of 68739

Prime factors of 68739 are 3, 11, 2083. Prime factorization of 68739 in exponential form is:

68739 = 31 × 111 × 20831

Prime Factorization of 68747

Prime factors of 68747 are 7, 23, 61. Prime factorization of 68747 in exponential form is:

68747 = 72 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 68739 and 68747.

LCM(68739,68747) = 31 × 111 × 20831 × 72 × 231 × 611
LCM(68739,68747) = 4725600033