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What is the Least Common Multiple of 4296 and 4308?

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 4296 and 4308 is 1542264.

LCM(4296,4308) = 1542264

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Least Common Multiple of 4296 and 4308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4296 and 4308, than apply into the LCM equation.

GCF(4296,4308) = 12
LCM(4296,4308) = ( 4296 × 4308) / 12
LCM(4296,4308) = 18507168 / 12
LCM(4296,4308) = 1542264

Least Common Multiple (LCM) of 4296 and 4308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4296 and 4308. First we will calculate the prime factors of 4296 and 4308.

Prime Factorization of 4296

Prime factors of 4296 are 2, 3, 179. Prime factorization of 4296 in exponential form is:

4296 = 23 × 31 × 1791

Prime Factorization of 4308

Prime factors of 4308 are 2, 3, 359. Prime factorization of 4308 in exponential form is:

4308 = 22 × 31 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 4296 and 4308.

LCM(4296,4308) = 23 × 31 × 1791 × 3591
LCM(4296,4308) = 1542264