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What is the Least Common Multiple of 31433 and 31450?

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 31433 and 31450 is 58151050.

LCM(31433,31450) = 58151050

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Least Common Multiple of 31433 and 31450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31433 and 31450, than apply into the LCM equation.

GCF(31433,31450) = 17
LCM(31433,31450) = ( 31433 × 31450) / 17
LCM(31433,31450) = 988567850 / 17
LCM(31433,31450) = 58151050

Least Common Multiple (LCM) of 31433 and 31450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31433 and 31450. First we will calculate the prime factors of 31433 and 31450.

Prime Factorization of 31433

Prime factors of 31433 are 17, 43. Prime factorization of 31433 in exponential form is:

31433 = 171 × 432

Prime Factorization of 31450

Prime factors of 31450 are 2, 5, 17, 37. Prime factorization of 31450 in exponential form is:

31450 = 21 × 52 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 31433 and 31450.

LCM(31433,31450) = 171 × 432 × 21 × 52 × 371
LCM(31433,31450) = 58151050