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What is the Least Common Multiple of 4280 and 4299?

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 4280 and 4299 is 18399720.

LCM(4280,4299) = 18399720

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Least Common Multiple of 4280 and 4299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4280 and 4299, than apply into the LCM equation.

GCF(4280,4299) = 1
LCM(4280,4299) = ( 4280 × 4299) / 1
LCM(4280,4299) = 18399720 / 1
LCM(4280,4299) = 18399720

Least Common Multiple (LCM) of 4280 and 4299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4280 and 4299. First we will calculate the prime factors of 4280 and 4299.

Prime Factorization of 4280

Prime factors of 4280 are 2, 5, 107. Prime factorization of 4280 in exponential form is:

4280 = 23 × 51 × 1071

Prime Factorization of 4299

Prime factors of 4299 are 3, 1433. Prime factorization of 4299 in exponential form is:

4299 = 31 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 4280 and 4299.

LCM(4280,4299) = 23 × 51 × 1071 × 31 × 14331
LCM(4280,4299) = 18399720