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What is the Least Common Multiple of 4420 and 4430?

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 4420 and 4430 is 1958060.

LCM(4420,4430) = 1958060

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Least Common Multiple of 4420 and 4430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4420 and 4430, than apply into the LCM equation.

GCF(4420,4430) = 10
LCM(4420,4430) = ( 4420 × 4430) / 10
LCM(4420,4430) = 19580600 / 10
LCM(4420,4430) = 1958060

Least Common Multiple (LCM) of 4420 and 4430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4420 and 4430. First we will calculate the prime factors of 4420 and 4430.

Prime Factorization of 4420

Prime factors of 4420 are 2, 5, 13, 17. Prime factorization of 4420 in exponential form is:

4420 = 22 × 51 × 131 × 171

Prime Factorization of 4430

Prime factors of 4430 are 2, 5, 443. Prime factorization of 4430 in exponential form is:

4430 = 21 × 51 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 4420 and 4430.

LCM(4420,4430) = 22 × 51 × 131 × 171 × 4431
LCM(4420,4430) = 1958060