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What is the Least Common Multiple of 4028 and 4035?

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 4028 and 4035 is 16252980.

LCM(4028,4035) = 16252980

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Least Common Multiple of 4028 and 4035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4028 and 4035, than apply into the LCM equation.

GCF(4028,4035) = 1
LCM(4028,4035) = ( 4028 × 4035) / 1
LCM(4028,4035) = 16252980 / 1
LCM(4028,4035) = 16252980

Least Common Multiple (LCM) of 4028 and 4035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4028 and 4035. First we will calculate the prime factors of 4028 and 4035.

Prime Factorization of 4028

Prime factors of 4028 are 2, 19, 53. Prime factorization of 4028 in exponential form is:

4028 = 22 × 191 × 531

Prime Factorization of 4035

Prime factors of 4035 are 3, 5, 269. Prime factorization of 4035 in exponential form is:

4035 = 31 × 51 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 4028 and 4035.

LCM(4028,4035) = 22 × 191 × 531 × 31 × 51 × 2691
LCM(4028,4035) = 16252980