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What is the Least Common Multiple of 41162 and 41171?

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 41162 and 41171 is 1694680702.

LCM(41162,41171) = 1694680702

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Least Common Multiple of 41162 and 41171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41162 and 41171, than apply into the LCM equation.

GCF(41162,41171) = 1
LCM(41162,41171) = ( 41162 × 41171) / 1
LCM(41162,41171) = 1694680702 / 1
LCM(41162,41171) = 1694680702

Least Common Multiple (LCM) of 41162 and 41171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41162 and 41171. First we will calculate the prime factors of 41162 and 41171.

Prime Factorization of 41162

Prime factors of 41162 are 2, 11, 1871. Prime factorization of 41162 in exponential form is:

41162 = 21 × 111 × 18711

Prime Factorization of 41171

Prime factors of 41171 are 13, 3167. Prime factorization of 41171 in exponential form is:

41171 = 131 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 41162 and 41171.

LCM(41162,41171) = 21 × 111 × 18711 × 131 × 31671
LCM(41162,41171) = 1694680702