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What is the Least Common Multiple of 4450 and 4470?

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 4450 and 4470 is 1989150.

LCM(4450,4470) = 1989150

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Least Common Multiple of 4450 and 4470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4450 and 4470, than apply into the LCM equation.

GCF(4450,4470) = 10
LCM(4450,4470) = ( 4450 × 4470) / 10
LCM(4450,4470) = 19891500 / 10
LCM(4450,4470) = 1989150

Least Common Multiple (LCM) of 4450 and 4470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4450 and 4470. First we will calculate the prime factors of 4450 and 4470.

Prime Factorization of 4450

Prime factors of 4450 are 2, 5, 89. Prime factorization of 4450 in exponential form is:

4450 = 21 × 52 × 891

Prime Factorization of 4470

Prime factors of 4470 are 2, 3, 5, 149. Prime factorization of 4470 in exponential form is:

4470 = 21 × 31 × 51 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4450 and 4470.

LCM(4450,4470) = 21 × 52 × 891 × 31 × 1491
LCM(4450,4470) = 1989150