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What is the Least Common Multiple of 70121 and 70129?

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 70129 is 4917515609.

LCM(70121,70129) = 4917515609

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Least Common Multiple of 70121 and 70129 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 70129, than apply into the LCM equation.

GCF(70121,70129) = 1
LCM(70121,70129) = ( 70121 × 70129) / 1
LCM(70121,70129) = 4917515609 / 1
LCM(70121,70129) = 4917515609

Least Common Multiple (LCM) of 70121 and 70129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70121 and 70129. First we will calculate the prime factors of 70121 and 70129.

Prime Factorization of 70121

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

70121 = 701211

Prime Factorization of 70129

Prime factors of 70129 are 19, 3691. Prime factorization of 70129 in exponential form is:

70129 = 191 × 36911

Now multiplying the highest exponent prime factors to calculate the LCM of 70121 and 70129.

LCM(70121,70129) = 701211 × 191 × 36911
LCM(70121,70129) = 4917515609