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What is the Least Common Multiple of 31050 and 31067?

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 31050 and 31067 is 964630350.

LCM(31050,31067) = 964630350

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Least Common Multiple of 31050 and 31067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31050 and 31067, than apply into the LCM equation.

GCF(31050,31067) = 1
LCM(31050,31067) = ( 31050 × 31067) / 1
LCM(31050,31067) = 964630350 / 1
LCM(31050,31067) = 964630350

Least Common Multiple (LCM) of 31050 and 31067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31050 and 31067. First we will calculate the prime factors of 31050 and 31067.

Prime Factorization of 31050

Prime factors of 31050 are 2, 3, 5, 23. Prime factorization of 31050 in exponential form is:

31050 = 21 × 33 × 52 × 231

Prime Factorization of 31067

Prime factors of 31067 are 47, 661. Prime factorization of 31067 in exponential form is:

31067 = 471 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 31050 and 31067.

LCM(31050,31067) = 21 × 33 × 52 × 231 × 471 × 6611
LCM(31050,31067) = 964630350