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What is the Least Common Multiple of 40163 and 40175?

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 40163 and 40175 is 1613548525.

LCM(40163,40175) = 1613548525

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Least Common Multiple of 40163 and 40175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40163 and 40175, than apply into the LCM equation.

GCF(40163,40175) = 1
LCM(40163,40175) = ( 40163 × 40175) / 1
LCM(40163,40175) = 1613548525 / 1
LCM(40163,40175) = 1613548525

Least Common Multiple (LCM) of 40163 and 40175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40163 and 40175. First we will calculate the prime factors of 40163 and 40175.

Prime Factorization of 40163

Prime factors of 40163 are 40163. Prime factorization of 40163 in exponential form is:

40163 = 401631

Prime Factorization of 40175

Prime factors of 40175 are 5, 1607. Prime factorization of 40175 in exponential form is:

40175 = 52 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 40163 and 40175.

LCM(40163,40175) = 401631 × 52 × 16071
LCM(40163,40175) = 1613548525