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What is the Least Common Multiple of 4330 and 4350?

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 4330 and 4350 is 1883550.

LCM(4330,4350) = 1883550

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Least Common Multiple of 4330 and 4350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4330 and 4350, than apply into the LCM equation.

GCF(4330,4350) = 10
LCM(4330,4350) = ( 4330 × 4350) / 10
LCM(4330,4350) = 18835500 / 10
LCM(4330,4350) = 1883550

Least Common Multiple (LCM) of 4330 and 4350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4330 and 4350. First we will calculate the prime factors of 4330 and 4350.

Prime Factorization of 4330

Prime factors of 4330 are 2, 5, 433. Prime factorization of 4330 in exponential form is:

4330 = 21 × 51 × 4331

Prime Factorization of 4350

Prime factors of 4350 are 2, 3, 5, 29. Prime factorization of 4350 in exponential form is:

4350 = 21 × 31 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4330 and 4350.

LCM(4330,4350) = 21 × 52 × 4331 × 31 × 291
LCM(4330,4350) = 1883550