What is the Least Common Multiple of 41018 and 41032?
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 41032 is 841525288.
LCM(41018,41032) = 841525288
Least Common Multiple of 41018 and 41032 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 41032, than apply into the LCM equation.
GCF(41018,41032) = 2
LCM(41018,41032) = ( 41018 × 41032) / 2
LCM(41018,41032) = 1683050576 / 2
LCM(41018,41032) = 841525288
Least Common Multiple (LCM) of 41018 and 41032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41018 and 41032. First we will calculate the prime factors of 41018 and 41032.
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 41032
Prime factors of 41032 are 2, 23, 223. Prime factorization of 41032 in exponential form is:
41032 = 23 × 231 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 41018 and 41032.
LCM(41018,41032) = 23 × 205091 × 231 × 2231
LCM(41018,41032) = 841525288
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