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What is the Least Common Multiple of 8945 and 8952?

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 8945 and 8952 is 80075640.

LCM(8945,8952) = 80075640

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Least Common Multiple of 8945 and 8952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8945 and 8952, than apply into the LCM equation.

GCF(8945,8952) = 1
LCM(8945,8952) = ( 8945 × 8952) / 1
LCM(8945,8952) = 80075640 / 1
LCM(8945,8952) = 80075640

Least Common Multiple (LCM) of 8945 and 8952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8945 and 8952. First we will calculate the prime factors of 8945 and 8952.

Prime Factorization of 8945

Prime factors of 8945 are 5, 1789. Prime factorization of 8945 in exponential form is:

8945 = 51 × 17891

Prime Factorization of 8952

Prime factors of 8952 are 2, 3, 373. Prime factorization of 8952 in exponential form is:

8952 = 23 × 31 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8945 and 8952.

LCM(8945,8952) = 51 × 17891 × 23 × 31 × 3731
LCM(8945,8952) = 80075640