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What is the Least Common Multiple of 3026 and 3036?

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 3026 and 3036 is 4593468.

LCM(3026,3036) = 4593468

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Least Common Multiple of 3026 and 3036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3026 and 3036, than apply into the LCM equation.

GCF(3026,3036) = 2
LCM(3026,3036) = ( 3026 × 3036) / 2
LCM(3026,3036) = 9186936 / 2
LCM(3026,3036) = 4593468

Least Common Multiple (LCM) of 3026 and 3036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3026 and 3036. First we will calculate the prime factors of 3026 and 3036.

Prime Factorization of 3026

Prime factors of 3026 are 2, 17, 89. Prime factorization of 3026 in exponential form is:

3026 = 21 × 171 × 891

Prime Factorization of 3036

Prime factors of 3036 are 2, 3, 11, 23. Prime factorization of 3036 in exponential form is:

3036 = 22 × 31 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3026 and 3036.

LCM(3026,3036) = 22 × 171 × 891 × 31 × 111 × 231
LCM(3026,3036) = 4593468