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What is the Least Common Multiple of 4224 and 4240?

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 4224 and 4240 is 1119360.

LCM(4224,4240) = 1119360

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Least Common Multiple of 4224 and 4240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4224 and 4240, than apply into the LCM equation.

GCF(4224,4240) = 16
LCM(4224,4240) = ( 4224 × 4240) / 16
LCM(4224,4240) = 17909760 / 16
LCM(4224,4240) = 1119360

Least Common Multiple (LCM) of 4224 and 4240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4224 and 4240. First we will calculate the prime factors of 4224 and 4240.

Prime Factorization of 4224

Prime factors of 4224 are 2, 3, 11. Prime factorization of 4224 in exponential form is:

4224 = 27 × 31 × 111

Prime Factorization of 4240

Prime factors of 4240 are 2, 5, 53. Prime factorization of 4240 in exponential form is:

4240 = 24 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4224 and 4240.

LCM(4224,4240) = 27 × 31 × 111 × 51 × 531
LCM(4224,4240) = 1119360