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What is the Least Common Multiple of 8532 and 8548?

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 8532 and 8548 is 18232884.

LCM(8532,8548) = 18232884

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Least Common Multiple of 8532 and 8548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8532 and 8548, than apply into the LCM equation.

GCF(8532,8548) = 4
LCM(8532,8548) = ( 8532 × 8548) / 4
LCM(8532,8548) = 72931536 / 4
LCM(8532,8548) = 18232884

Least Common Multiple (LCM) of 8532 and 8548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8532 and 8548. First we will calculate the prime factors of 8532 and 8548.

Prime Factorization of 8532

Prime factors of 8532 are 2, 3, 79. Prime factorization of 8532 in exponential form is:

8532 = 22 × 33 × 791

Prime Factorization of 8548

Prime factors of 8548 are 2, 2137. Prime factorization of 8548 in exponential form is:

8548 = 22 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 8532 and 8548.

LCM(8532,8548) = 22 × 33 × 791 × 21371
LCM(8532,8548) = 18232884