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What is the Least Common Multiple of 31234 and 31239?

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 31234 and 31239 is 975718926.

LCM(31234,31239) = 975718926

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Least Common Multiple of 31234 and 31239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31234 and 31239, than apply into the LCM equation.

GCF(31234,31239) = 1
LCM(31234,31239) = ( 31234 × 31239) / 1
LCM(31234,31239) = 975718926 / 1
LCM(31234,31239) = 975718926

Least Common Multiple (LCM) of 31234 and 31239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31234 and 31239. First we will calculate the prime factors of 31234 and 31239.

Prime Factorization of 31234

Prime factors of 31234 are 2, 7, 23, 97. Prime factorization of 31234 in exponential form is:

31234 = 21 × 71 × 231 × 971

Prime Factorization of 31239

Prime factors of 31239 are 3, 13, 89. Prime factorization of 31239 in exponential form is:

31239 = 33 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 31234 and 31239.

LCM(31234,31239) = 21 × 71 × 231 × 971 × 33 × 131 × 891
LCM(31234,31239) = 975718926