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What is the Least Common Multiple of 70162 and 70177?

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 70162 and 70177 is 4923758674.

LCM(70162,70177) = 4923758674

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Least Common Multiple of 70162 and 70177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70162 and 70177, than apply into the LCM equation.

GCF(70162,70177) = 1
LCM(70162,70177) = ( 70162 × 70177) / 1
LCM(70162,70177) = 4923758674 / 1
LCM(70162,70177) = 4923758674

Least Common Multiple (LCM) of 70162 and 70177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70162 and 70177. First we will calculate the prime factors of 70162 and 70177.

Prime Factorization of 70162

Prime factors of 70162 are 2, 35081. Prime factorization of 70162 in exponential form is:

70162 = 21 × 350811

Prime Factorization of 70177

Prime factors of 70177 are 70177. Prime factorization of 70177 in exponential form is:

70177 = 701771

Now multiplying the highest exponent prime factors to calculate the LCM of 70162 and 70177.

LCM(70162,70177) = 21 × 350811 × 701771
LCM(70162,70177) = 4923758674