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What is the Least Common Multiple of 70121 and 70127?

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 70121 and 70127 is 4917375367.

LCM(70121,70127) = 4917375367

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Least Common Multiple of 70121 and 70127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70121 and 70127, than apply into the LCM equation.

GCF(70121,70127) = 1
LCM(70121,70127) = ( 70121 × 70127) / 1
LCM(70121,70127) = 4917375367 / 1
LCM(70121,70127) = 4917375367

Least Common Multiple (LCM) of 70121 and 70127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70121 and 70127. First we will calculate the prime factors of 70121 and 70127.

Prime Factorization of 70121

Prime factors of 70121 are 70121. Prime factorization of 70121 in exponential form is:

70121 = 701211

Prime Factorization of 70127

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

70127 = 231 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 70121 and 70127.

LCM(70121,70127) = 701211 × 231 × 30491
LCM(70121,70127) = 4917375367