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What is the Least Common Multiple of 8028 and 8041?

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 8028 and 8041 is 64553148.

LCM(8028,8041) = 64553148

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Least Common Multiple of 8028 and 8041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8028 and 8041, than apply into the LCM equation.

GCF(8028,8041) = 1
LCM(8028,8041) = ( 8028 × 8041) / 1
LCM(8028,8041) = 64553148 / 1
LCM(8028,8041) = 64553148

Least Common Multiple (LCM) of 8028 and 8041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8028 and 8041. First we will calculate the prime factors of 8028 and 8041.

Prime Factorization of 8028

Prime factors of 8028 are 2, 3, 223. Prime factorization of 8028 in exponential form is:

8028 = 22 × 32 × 2231

Prime Factorization of 8041

Prime factors of 8041 are 11, 17, 43. Prime factorization of 8041 in exponential form is:

8041 = 111 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 8028 and 8041.

LCM(8028,8041) = 22 × 32 × 2231 × 111 × 171 × 431
LCM(8028,8041) = 64553148