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What is the Least Common Multiple of 4320 and 4330?

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 4320 and 4330 is 1870560.

LCM(4320,4330) = 1870560

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Least Common Multiple of 4320 and 4330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4320 and 4330, than apply into the LCM equation.

GCF(4320,4330) = 10
LCM(4320,4330) = ( 4320 × 4330) / 10
LCM(4320,4330) = 18705600 / 10
LCM(4320,4330) = 1870560

Least Common Multiple (LCM) of 4320 and 4330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4320 and 4330. First we will calculate the prime factors of 4320 and 4330.

Prime Factorization of 4320

Prime factors of 4320 are 2, 3, 5. Prime factorization of 4320 in exponential form is:

4320 = 25 × 33 × 51

Prime Factorization of 4330

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

4330 = 21 × 51 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 4320 and 4330.

LCM(4320,4330) = 25 × 33 × 51 × 4331
LCM(4320,4330) = 1870560