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What is the Least Common Multiple of 4420 and 4428?

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 4428 is 4892940.

LCM(4420,4428) = 4892940

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Least Common Multiple of 4420 and 4428 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 4428, than apply into the LCM equation.

GCF(4420,4428) = 4
LCM(4420,4428) = ( 4420 × 4428) / 4
LCM(4420,4428) = 19571760 / 4
LCM(4420,4428) = 4892940

Least Common Multiple (LCM) of 4420 and 4428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4420 and 4428. First we will calculate the prime factors of 4420 and 4428.

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 4428

Prime factors of 4428 are 2, 3, 41. Prime factorization of 4428 in exponential form is:

4428 = 22 × 33 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4420 and 4428.

LCM(4420,4428) = 22 × 51 × 131 × 171 × 33 × 411
LCM(4420,4428) = 4892940