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What is the Least Common Multiple of 4272 and 4284?

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 4272 and 4284 is 1525104.

LCM(4272,4284) = 1525104

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Least Common Multiple of 4272 and 4284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4272 and 4284, than apply into the LCM equation.

GCF(4272,4284) = 12
LCM(4272,4284) = ( 4272 × 4284) / 12
LCM(4272,4284) = 18301248 / 12
LCM(4272,4284) = 1525104

Least Common Multiple (LCM) of 4272 and 4284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4284. First we will calculate the prime factors of 4272 and 4284.

Prime Factorization of 4272

Prime factors of 4272 are 2, 3, 89. Prime factorization of 4272 in exponential form is:

4272 = 24 × 31 × 891

Prime Factorization of 4284

Prime factors of 4284 are 2, 3, 7, 17. Prime factorization of 4284 in exponential form is:

4284 = 22 × 32 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4284.

LCM(4272,4284) = 24 × 32 × 891 × 71 × 171
LCM(4272,4284) = 1525104