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What is the Least Common Multiple of 68931 and 68947?

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 68931 and 68947 is 4752585657.

LCM(68931,68947) = 4752585657

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Least Common Multiple of 68931 and 68947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68931 and 68947, than apply into the LCM equation.

GCF(68931,68947) = 1
LCM(68931,68947) = ( 68931 × 68947) / 1
LCM(68931,68947) = 4752585657 / 1
LCM(68931,68947) = 4752585657

Least Common Multiple (LCM) of 68931 and 68947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68931 and 68947. First we will calculate the prime factors of 68931 and 68947.

Prime Factorization of 68931

Prime factors of 68931 are 3, 23, 37. Prime factorization of 68931 in exponential form is:

68931 = 34 × 231 × 371

Prime Factorization of 68947

Prime factors of 68947 are 68947. Prime factorization of 68947 in exponential form is:

68947 = 689471

Now multiplying the highest exponent prime factors to calculate the LCM of 68931 and 68947.

LCM(68931,68947) = 34 × 231 × 371 × 689471
LCM(68931,68947) = 4752585657