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What is the Least Common Multiple of 2026 and 2031?

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 2026 and 2031 is 4114806.

LCM(2026,2031) = 4114806

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Least Common Multiple of 2026 and 2031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2026 and 2031, than apply into the LCM equation.

GCF(2026,2031) = 1
LCM(2026,2031) = ( 2026 × 2031) / 1
LCM(2026,2031) = 4114806 / 1
LCM(2026,2031) = 4114806

Least Common Multiple (LCM) of 2026 and 2031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2026 and 2031. First we will calculate the prime factors of 2026 and 2031.

Prime Factorization of 2026

Prime factors of 2026 are 2, 1013. Prime factorization of 2026 in exponential form is:

2026 = 21 × 10131

Prime Factorization of 2031

Prime factors of 2031 are 3, 677. Prime factorization of 2031 in exponential form is:

2031 = 31 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 2026 and 2031.

LCM(2026,2031) = 21 × 10131 × 31 × 6771
LCM(2026,2031) = 4114806