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What is the Least Common Multiple of 4494 and 4500?

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 4494 and 4500 is 3370500.

LCM(4494,4500) = 3370500

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Least Common Multiple of 4494 and 4500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4494 and 4500, than apply into the LCM equation.

GCF(4494,4500) = 6
LCM(4494,4500) = ( 4494 × 4500) / 6
LCM(4494,4500) = 20223000 / 6
LCM(4494,4500) = 3370500

Least Common Multiple (LCM) of 4494 and 4500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4494 and 4500. First we will calculate the prime factors of 4494 and 4500.

Prime Factorization of 4494

Prime factors of 4494 are 2, 3, 7, 107. Prime factorization of 4494 in exponential form is:

4494 = 21 × 31 × 71 × 1071

Prime Factorization of 4500

Prime factors of 4500 are 2, 3, 5. Prime factorization of 4500 in exponential form is:

4500 = 22 × 32 × 53

Now multiplying the highest exponent prime factors to calculate the LCM of 4494 and 4500.

LCM(4494,4500) = 22 × 32 × 71 × 1071 × 53
LCM(4494,4500) = 3370500