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What is the Least Common Multiple of 41195 and 41212?

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 41195 and 41212 is 1697728340.

LCM(41195,41212) = 1697728340

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Least Common Multiple of 41195 and 41212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41195 and 41212, than apply into the LCM equation.

GCF(41195,41212) = 1
LCM(41195,41212) = ( 41195 × 41212) / 1
LCM(41195,41212) = 1697728340 / 1
LCM(41195,41212) = 1697728340

Least Common Multiple (LCM) of 41195 and 41212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41195 and 41212. First we will calculate the prime factors of 41195 and 41212.

Prime Factorization of 41195

Prime factors of 41195 are 5, 7, 11, 107. Prime factorization of 41195 in exponential form is:

41195 = 51 × 71 × 111 × 1071

Prime Factorization of 41212

Prime factors of 41212 are 2, 10303. Prime factorization of 41212 in exponential form is:

41212 = 22 × 103031

Now multiplying the highest exponent prime factors to calculate the LCM of 41195 and 41212.

LCM(41195,41212) = 51 × 71 × 111 × 1071 × 22 × 103031
LCM(41195,41212) = 1697728340