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What is the Least Common Multiple of 41887 and 41897?

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 41887 and 41897 is 1754939639.

LCM(41887,41897) = 1754939639

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Least Common Multiple of 41887 and 41897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41887 and 41897, than apply into the LCM equation.

GCF(41887,41897) = 1
LCM(41887,41897) = ( 41887 × 41897) / 1
LCM(41887,41897) = 1754939639 / 1
LCM(41887,41897) = 1754939639

Least Common Multiple (LCM) of 41887 and 41897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41887 and 41897. First we will calculate the prime factors of 41887 and 41897.

Prime Factorization of 41887

Prime factors of 41887 are 41887. Prime factorization of 41887 in exponential form is:

41887 = 418871

Prime Factorization of 41897

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

41897 = 418971

Now multiplying the highest exponent prime factors to calculate the LCM of 41887 and 41897.

LCM(41887,41897) = 418871 × 418971
LCM(41887,41897) = 1754939639