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What is the Least Common Multiple of 41897 and 41901?

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 41897 and 41901 is 1755526197.

LCM(41897,41901) = 1755526197

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Least Common Multiple of 41897 and 41901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41897 and 41901, than apply into the LCM equation.

GCF(41897,41901) = 1
LCM(41897,41901) = ( 41897 × 41901) / 1
LCM(41897,41901) = 1755526197 / 1
LCM(41897,41901) = 1755526197

Least Common Multiple (LCM) of 41897 and 41901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41897 and 41901. First we will calculate the prime factors of 41897 and 41901.

Prime Factorization of 41897

Prime factors of 41897 are 41897. Prime factorization of 41897 in exponential form is:

41897 = 418971

Prime Factorization of 41901

Prime factors of 41901 are 3, 13967. Prime factorization of 41901 in exponential form is:

41901 = 31 × 139671

Now multiplying the highest exponent prime factors to calculate the LCM of 41897 and 41901.

LCM(41897,41901) = 418971 × 31 × 139671
LCM(41897,41901) = 1755526197