What is the Least Common Multiple of 40154 and 40163?
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 40154 and 40163 is 1612705102.
LCM(40154,40163) = 1612705102
Least Common Multiple of 40154 and 40163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40154 and 40163, than apply into the LCM equation.
GCF(40154,40163) = 1
LCM(40154,40163) = ( 40154 × 40163) / 1
LCM(40154,40163) = 1612705102 / 1
LCM(40154,40163) = 1612705102
Least Common Multiple (LCM) of 40154 and 40163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40154 and 40163. First we will calculate the prime factors of 40154 and 40163.
Prime Factorization of 40154
Prime factors of 40154 are 2, 17, 1181. Prime factorization of 40154 in exponential form is:
40154 = 21 × 171 × 11811
Prime Factorization of 40163
Prime factors of 40163 are 40163. Prime factorization of 40163 in exponential form is:
40163 = 401631
Now multiplying the highest exponent prime factors to calculate the LCM of 40154 and 40163.
LCM(40154,40163) = 21 × 171 × 11811 × 401631
LCM(40154,40163) = 1612705102
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