What is the Least Common Multiple of 40165 and 40169?
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 40165 and 40169 is 1613387885.
LCM(40165,40169) = 1613387885
Least Common Multiple of 40165 and 40169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40165 and 40169, than apply into the LCM equation.
GCF(40165,40169) = 1
LCM(40165,40169) = ( 40165 × 40169) / 1
LCM(40165,40169) = 1613387885 / 1
LCM(40165,40169) = 1613387885
Least Common Multiple (LCM) of 40165 and 40169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40165 and 40169. First we will calculate the prime factors of 40165 and 40169.
Prime Factorization of 40165
Prime factors of 40165 are 5, 29, 277. Prime factorization of 40165 in exponential form is:
40165 = 51 × 291 × 2771
Prime Factorization of 40169
Prime factors of 40169 are 40169. Prime factorization of 40169 in exponential form is:
40169 = 401691
Now multiplying the highest exponent prime factors to calculate the LCM of 40165 and 40169.
LCM(40165,40169) = 51 × 291 × 2771 × 401691
LCM(40165,40169) = 1613387885
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