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What is the Least Common Multiple of 41187 and 41202?

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 41187 and 41202 is 565662258.

LCM(41187,41202) = 565662258

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Least Common Multiple of 41187 and 41202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41187 and 41202, than apply into the LCM equation.

GCF(41187,41202) = 3
LCM(41187,41202) = ( 41187 × 41202) / 3
LCM(41187,41202) = 1696986774 / 3
LCM(41187,41202) = 565662258

Least Common Multiple (LCM) of 41187 and 41202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41187 and 41202. First we will calculate the prime factors of 41187 and 41202.

Prime Factorization of 41187

Prime factors of 41187 are 3, 13729. Prime factorization of 41187 in exponential form is:

41187 = 31 × 137291

Prime Factorization of 41202

Prime factors of 41202 are 2, 3, 7, 109. Prime factorization of 41202 in exponential form is:

41202 = 21 × 33 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 41187 and 41202.

LCM(41187,41202) = 33 × 137291 × 21 × 71 × 1091
LCM(41187,41202) = 565662258