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What is the Least Common Multiple of 8738 and 8745?

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 8738 and 8745 is 76413810.

LCM(8738,8745) = 76413810

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Least Common Multiple of 8738 and 8745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8738 and 8745, than apply into the LCM equation.

GCF(8738,8745) = 1
LCM(8738,8745) = ( 8738 × 8745) / 1
LCM(8738,8745) = 76413810 / 1
LCM(8738,8745) = 76413810

Least Common Multiple (LCM) of 8738 and 8745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8738 and 8745. First we will calculate the prime factors of 8738 and 8745.

Prime Factorization of 8738

Prime factors of 8738 are 2, 17, 257. Prime factorization of 8738 in exponential form is:

8738 = 21 × 171 × 2571

Prime Factorization of 8745

Prime factors of 8745 are 3, 5, 11, 53. Prime factorization of 8745 in exponential form is:

8745 = 31 × 51 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8738 and 8745.

LCM(8738,8745) = 21 × 171 × 2571 × 31 × 51 × 111 × 531
LCM(8738,8745) = 76413810