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What is the Least Common Multiple of 31122 and 31141?

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 31122 and 31141 is 51008958.

LCM(31122,31141) = 51008958

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Least Common Multiple of 31122 and 31141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31122 and 31141, than apply into the LCM equation.

GCF(31122,31141) = 19
LCM(31122,31141) = ( 31122 × 31141) / 19
LCM(31122,31141) = 969170202 / 19
LCM(31122,31141) = 51008958

Least Common Multiple (LCM) of 31122 and 31141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31122 and 31141. First we will calculate the prime factors of 31122 and 31141.

Prime Factorization of 31122

Prime factors of 31122 are 2, 3, 7, 13, 19. Prime factorization of 31122 in exponential form is:

31122 = 21 × 32 × 71 × 131 × 191

Prime Factorization of 31141

Prime factors of 31141 are 11, 19, 149. Prime factorization of 31141 in exponential form is:

31141 = 111 × 191 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 31122 and 31141.

LCM(31122,31141) = 21 × 32 × 71 × 131 × 191 × 111 × 1491
LCM(31122,31141) = 51008958