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What is the Least Common Multiple of 8723 and 8732?

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 8723 and 8732 is 76169236.

LCM(8723,8732) = 76169236

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Least Common Multiple of 8723 and 8732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8723 and 8732, than apply into the LCM equation.

GCF(8723,8732) = 1
LCM(8723,8732) = ( 8723 × 8732) / 1
LCM(8723,8732) = 76169236 / 1
LCM(8723,8732) = 76169236

Least Common Multiple (LCM) of 8723 and 8732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8723 and 8732. First we will calculate the prime factors of 8723 and 8732.

Prime Factorization of 8723

Prime factors of 8723 are 11, 13, 61. Prime factorization of 8723 in exponential form is:

8723 = 111 × 131 × 611

Prime Factorization of 8732

Prime factors of 8732 are 2, 37, 59. Prime factorization of 8732 in exponential form is:

8732 = 22 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8723 and 8732.

LCM(8723,8732) = 111 × 131 × 611 × 22 × 371 × 591
LCM(8723,8732) = 76169236