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What is the Least Common Multiple of 31186 and 31197?

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 31186 and 31197 is 972909642.

LCM(31186,31197) = 972909642

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Least Common Multiple of 31186 and 31197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31186 and 31197, than apply into the LCM equation.

GCF(31186,31197) = 1
LCM(31186,31197) = ( 31186 × 31197) / 1
LCM(31186,31197) = 972909642 / 1
LCM(31186,31197) = 972909642

Least Common Multiple (LCM) of 31186 and 31197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31186 and 31197. First we will calculate the prime factors of 31186 and 31197.

Prime Factorization of 31186

Prime factors of 31186 are 2, 31, 503. Prime factorization of 31186 in exponential form is:

31186 = 21 × 311 × 5031

Prime Factorization of 31197

Prime factors of 31197 are 3, 10399. Prime factorization of 31197 in exponential form is:

31197 = 31 × 103991

Now multiplying the highest exponent prime factors to calculate the LCM of 31186 and 31197.

LCM(31186,31197) = 21 × 311 × 5031 × 31 × 103991
LCM(31186,31197) = 972909642