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What is the Least Common Multiple of 8952 and 8956?

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 8952 and 8956 is 20043528.

LCM(8952,8956) = 20043528

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Least Common Multiple of 8952 and 8956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8952 and 8956, than apply into the LCM equation.

GCF(8952,8956) = 4
LCM(8952,8956) = ( 8952 × 8956) / 4
LCM(8952,8956) = 80174112 / 4
LCM(8952,8956) = 20043528

Least Common Multiple (LCM) of 8952 and 8956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8952 and 8956. First we will calculate the prime factors of 8952 and 8956.

Prime Factorization of 8952

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

8952 = 23 × 31 × 3731

Prime Factorization of 8956

Prime factors of 8956 are 2, 2239. Prime factorization of 8956 in exponential form is:

8956 = 22 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 8952 and 8956.

LCM(8952,8956) = 23 × 31 × 3731 × 22391
LCM(8952,8956) = 20043528