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What is the Least Common Multiple of 8748 and 8767?

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 8748 and 8767 is 76693716.

LCM(8748,8767) = 76693716

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Least Common Multiple of 8748 and 8767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8748 and 8767, than apply into the LCM equation.

GCF(8748,8767) = 1
LCM(8748,8767) = ( 8748 × 8767) / 1
LCM(8748,8767) = 76693716 / 1
LCM(8748,8767) = 76693716

Least Common Multiple (LCM) of 8748 and 8767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8748 and 8767. First we will calculate the prime factors of 8748 and 8767.

Prime Factorization of 8748

Prime factors of 8748 are 2, 3. Prime factorization of 8748 in exponential form is:

8748 = 22 × 37

Prime Factorization of 8767

Prime factors of 8767 are 11, 797. Prime factorization of 8767 in exponential form is:

8767 = 111 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 8748 and 8767.

LCM(8748,8767) = 22 × 37 × 111 × 7971
LCM(8748,8767) = 76693716