What is the Least Common Multiple of 41018 and 41035?
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 41018 and 41035 is 1683173630.
LCM(41018,41035) = 1683173630
Least Common Multiple of 41018 and 41035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41018 and 41035, than apply into the LCM equation.
GCF(41018,41035) = 1
LCM(41018,41035) = ( 41018 × 41035) / 1
LCM(41018,41035) = 1683173630 / 1
LCM(41018,41035) = 1683173630
Least Common Multiple (LCM) of 41018 and 41035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41018 and 41035. First we will calculate the prime factors of 41018 and 41035.
Prime Factorization of 41018
Prime factors of 41018 are 2, 20509. Prime factorization of 41018 in exponential form is:
41018 = 21 × 205091
Prime Factorization of 41035
Prime factors of 41035 are 5, 29, 283. Prime factorization of 41035 in exponential form is:
41035 = 51 × 291 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 41018 and 41035.
LCM(41018,41035) = 21 × 205091 × 51 × 291 × 2831
LCM(41018,41035) = 1683173630
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