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What is the Least Common Multiple of 4282 and 4300?

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 4282 and 4300 is 9206300.

LCM(4282,4300) = 9206300

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Least Common Multiple of 4282 and 4300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4282 and 4300, than apply into the LCM equation.

GCF(4282,4300) = 2
LCM(4282,4300) = ( 4282 × 4300) / 2
LCM(4282,4300) = 18412600 / 2
LCM(4282,4300) = 9206300

Least Common Multiple (LCM) of 4282 and 4300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4282 and 4300. First we will calculate the prime factors of 4282 and 4300.

Prime Factorization of 4282

Prime factors of 4282 are 2, 2141. Prime factorization of 4282 in exponential form is:

4282 = 21 × 21411

Prime Factorization of 4300

Prime factors of 4300 are 2, 5, 43. Prime factorization of 4300 in exponential form is:

4300 = 22 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4282 and 4300.

LCM(4282,4300) = 22 × 21411 × 52 × 431
LCM(4282,4300) = 9206300