What is the Least Common Multiple of 40147 and 40154?
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 40147 and 40154 is 1612062638.
LCM(40147,40154) = 1612062638
Least Common Multiple of 40147 and 40154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40147 and 40154, than apply into the LCM equation.
GCF(40147,40154) = 1
LCM(40147,40154) = ( 40147 × 40154) / 1
LCM(40147,40154) = 1612062638 / 1
LCM(40147,40154) = 1612062638
Least Common Multiple (LCM) of 40147 and 40154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40147 and 40154. First we will calculate the prime factors of 40147 and 40154.
Prime Factorization of 40147
Prime factors of 40147 are 19, 2113. Prime factorization of 40147 in exponential form is:
40147 = 191 × 21131
Prime Factorization of 40154
Prime factors of 40154 are 2, 17, 1181. Prime factorization of 40154 in exponential form is:
40154 = 21 × 171 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 40147 and 40154.
LCM(40147,40154) = 191 × 21131 × 21 × 171 × 11811
LCM(40147,40154) = 1612062638
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