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What is the Least Common Multiple of 31040 and 31046?

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 31040 and 31046 is 481833920.

LCM(31040,31046) = 481833920

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Least Common Multiple of 31040 and 31046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31040 and 31046, than apply into the LCM equation.

GCF(31040,31046) = 2
LCM(31040,31046) = ( 31040 × 31046) / 2
LCM(31040,31046) = 963667840 / 2
LCM(31040,31046) = 481833920

Least Common Multiple (LCM) of 31040 and 31046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31040 and 31046. First we will calculate the prime factors of 31040 and 31046.

Prime Factorization of 31040

Prime factors of 31040 are 2, 5, 97. Prime factorization of 31040 in exponential form is:

31040 = 26 × 51 × 971

Prime Factorization of 31046

Prime factors of 31046 are 2, 19, 43. Prime factorization of 31046 in exponential form is:

31046 = 21 × 192 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 31040 and 31046.

LCM(31040,31046) = 26 × 51 × 971 × 192 × 431
LCM(31040,31046) = 481833920