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What is the Least Common Multiple of 2027 and 2032?

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 2027 and 2032 is 4118864.

LCM(2027,2032) = 4118864

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Least Common Multiple of 2027 and 2032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2027 and 2032, than apply into the LCM equation.

GCF(2027,2032) = 1
LCM(2027,2032) = ( 2027 × 2032) / 1
LCM(2027,2032) = 4118864 / 1
LCM(2027,2032) = 4118864

Least Common Multiple (LCM) of 2027 and 2032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2032. First we will calculate the prime factors of 2027 and 2032.

Prime Factorization of 2027

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

Prime Factorization of 2032

Prime factors of 2032 are 2, 127. Prime factorization of 2032 in exponential form is:

2032 = 24 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2027 and 2032.

LCM(2027,2032) = 20271 × 24 × 1271
LCM(2027,2032) = 4118864