What is the Least Common Multiple of 40018 and 40027?
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 40018 and 40027 is 1601800486.
LCM(40018,40027) = 1601800486
Least Common Multiple of 40018 and 40027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40018 and 40027, than apply into the LCM equation.
GCF(40018,40027) = 1
LCM(40018,40027) = ( 40018 × 40027) / 1
LCM(40018,40027) = 1601800486 / 1
LCM(40018,40027) = 1601800486
Least Common Multiple (LCM) of 40018 and 40027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40018 and 40027. First we will calculate the prime factors of 40018 and 40027.
Prime Factorization of 40018
Prime factors of 40018 are 2, 11, 17, 107. Prime factorization of 40018 in exponential form is:
40018 = 21 × 111 × 171 × 1071
Prime Factorization of 40027
Prime factors of 40027 are 13, 3079. Prime factorization of 40027 in exponential form is:
40027 = 131 × 30791
Now multiplying the highest exponent prime factors to calculate the LCM of 40018 and 40027.
LCM(40018,40027) = 21 × 111 × 171 × 1071 × 131 × 30791
LCM(40018,40027) = 1601800486
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