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What is the Least Common Multiple of 31187 and 31203?

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 31187 and 31203 is 973127961.

LCM(31187,31203) = 973127961

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Least Common Multiple of 31187 and 31203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31187 and 31203, than apply into the LCM equation.

GCF(31187,31203) = 1
LCM(31187,31203) = ( 31187 × 31203) / 1
LCM(31187,31203) = 973127961 / 1
LCM(31187,31203) = 973127961

Least Common Multiple (LCM) of 31187 and 31203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31187 and 31203. First we will calculate the prime factors of 31187 and 31203.

Prime Factorization of 31187

Prime factors of 31187 are 13, 2399. Prime factorization of 31187 in exponential form is:

31187 = 131 × 23991

Prime Factorization of 31203

Prime factors of 31203 are 3, 3467. Prime factorization of 31203 in exponential form is:

31203 = 32 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 31187 and 31203.

LCM(31187,31203) = 131 × 23991 × 32 × 34671
LCM(31187,31203) = 973127961