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What is the Least Common Multiple of 31054 and 31059?

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 31054 and 31059 is 964506186.

LCM(31054,31059) = 964506186

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Least Common Multiple of 31054 and 31059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31054 and 31059, than apply into the LCM equation.

GCF(31054,31059) = 1
LCM(31054,31059) = ( 31054 × 31059) / 1
LCM(31054,31059) = 964506186 / 1
LCM(31054,31059) = 964506186

Least Common Multiple (LCM) of 31054 and 31059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31054 and 31059. First we will calculate the prime factors of 31054 and 31059.

Prime Factorization of 31054

Prime factors of 31054 are 2, 15527. Prime factorization of 31054 in exponential form is:

31054 = 21 × 155271

Prime Factorization of 31059

Prime factors of 31059 are 3, 7, 17, 29. Prime factorization of 31059 in exponential form is:

31059 = 32 × 71 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 31054 and 31059.

LCM(31054,31059) = 21 × 155271 × 32 × 71 × 171 × 291
LCM(31054,31059) = 964506186