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What is the Least Common Multiple of 70127 and 70143?

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 70127 and 70143 is 4918918161.

LCM(70127,70143) = 4918918161

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Least Common Multiple of 70127 and 70143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70127 and 70143, than apply into the LCM equation.

GCF(70127,70143) = 1
LCM(70127,70143) = ( 70127 × 70143) / 1
LCM(70127,70143) = 4918918161 / 1
LCM(70127,70143) = 4918918161

Least Common Multiple (LCM) of 70127 and 70143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70127 and 70143. First we will calculate the prime factors of 70127 and 70143.

Prime Factorization of 70127

Prime factors of 70127 are 23, 3049. Prime factorization of 70127 in exponential form is:

70127 = 231 × 30491

Prime Factorization of 70143

Prime factors of 70143 are 3, 103, 227. Prime factorization of 70143 in exponential form is:

70143 = 31 × 1031 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 70127 and 70143.

LCM(70127,70143) = 231 × 30491 × 31 × 1031 × 2271
LCM(70127,70143) = 4918918161