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What is the Least Common Multiple of 41455 and 41466?

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 41455 and 41466 is 1718973030.

LCM(41455,41466) = 1718973030

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Least Common Multiple of 41455 and 41466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41455 and 41466, than apply into the LCM equation.

GCF(41455,41466) = 1
LCM(41455,41466) = ( 41455 × 41466) / 1
LCM(41455,41466) = 1718973030 / 1
LCM(41455,41466) = 1718973030

Least Common Multiple (LCM) of 41455 and 41466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41455 and 41466. First we will calculate the prime factors of 41455 and 41466.

Prime Factorization of 41455

Prime factors of 41455 are 5, 8291. Prime factorization of 41455 in exponential form is:

41455 = 51 × 82911

Prime Factorization of 41466

Prime factors of 41466 are 2, 3, 6911. Prime factorization of 41466 in exponential form is:

41466 = 21 × 31 × 69111

Now multiplying the highest exponent prime factors to calculate the LCM of 41455 and 41466.

LCM(41455,41466) = 51 × 82911 × 21 × 31 × 69111
LCM(41455,41466) = 1718973030