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What is the Least Common Multiple of 31043 and 31052?

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 31043 and 31052 is 963947236.

LCM(31043,31052) = 963947236

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Least Common Multiple of 31043 and 31052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31043 and 31052, than apply into the LCM equation.

GCF(31043,31052) = 1
LCM(31043,31052) = ( 31043 × 31052) / 1
LCM(31043,31052) = 963947236 / 1
LCM(31043,31052) = 963947236

Least Common Multiple (LCM) of 31043 and 31052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31043 and 31052. First we will calculate the prime factors of 31043 and 31052.

Prime Factorization of 31043

Prime factors of 31043 are 37, 839. Prime factorization of 31043 in exponential form is:

31043 = 371 × 8391

Prime Factorization of 31052

Prime factors of 31052 are 2, 7, 1109. Prime factorization of 31052 in exponential form is:

31052 = 22 × 71 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 31043 and 31052.

LCM(31043,31052) = 371 × 8391 × 22 × 71 × 11091
LCM(31043,31052) = 963947236