What is the Least Common Multiple of 41190 and 41210?
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 41190 and 41210 is 169743990.
LCM(41190,41210) = 169743990
Least Common Multiple of 41190 and 41210 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41190 and 41210, than apply into the LCM equation.
GCF(41190,41210) = 10
LCM(41190,41210) = ( 41190 × 41210) / 10
LCM(41190,41210) = 1697439900 / 10
LCM(41190,41210) = 169743990
Least Common Multiple (LCM) of 41190 and 41210 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41190 and 41210. First we will calculate the prime factors of 41190 and 41210.
Prime Factorization of 41190
Prime factors of 41190 are 2, 3, 5, 1373. Prime factorization of 41190 in exponential form is:
41190 = 21 × 31 × 51 × 13731
Prime Factorization of 41210
Prime factors of 41210 are 2, 5, 13, 317. Prime factorization of 41210 in exponential form is:
41210 = 21 × 51 × 131 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 41190 and 41210.
LCM(41190,41210) = 21 × 31 × 51 × 13731 × 131 × 3171
LCM(41190,41210) = 169743990
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