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What is the Least Common Multiple of 4340 and 4352?

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 4340 and 4352 is 4721920.

LCM(4340,4352) = 4721920

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Least Common Multiple of 4340 and 4352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4340 and 4352, than apply into the LCM equation.

GCF(4340,4352) = 4
LCM(4340,4352) = ( 4340 × 4352) / 4
LCM(4340,4352) = 18887680 / 4
LCM(4340,4352) = 4721920

Least Common Multiple (LCM) of 4340 and 4352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4340 and 4352. First we will calculate the prime factors of 4340 and 4352.

Prime Factorization of 4340

Prime factors of 4340 are 2, 5, 7, 31. Prime factorization of 4340 in exponential form is:

4340 = 22 × 51 × 71 × 311

Prime Factorization of 4352

Prime factors of 4352 are 2, 17. Prime factorization of 4352 in exponential form is:

4352 = 28 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4340 and 4352.

LCM(4340,4352) = 28 × 51 × 71 × 311 × 171
LCM(4340,4352) = 4721920