What is the Least Common Multiple of 40123 and 40129?
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 40123 and 40129 is 1610095867.
LCM(40123,40129) = 1610095867
Least Common Multiple of 40123 and 40129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40123 and 40129, than apply into the LCM equation.
GCF(40123,40129) = 1
LCM(40123,40129) = ( 40123 × 40129) / 1
LCM(40123,40129) = 1610095867 / 1
LCM(40123,40129) = 1610095867
Least Common Multiple (LCM) of 40123 and 40129 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40123 and 40129. First we will calculate the prime factors of 40123 and 40129.
Prime Factorization of 40123
Prime factors of 40123 are 40123. Prime factorization of 40123 in exponential form is:
40123 = 401231
Prime Factorization of 40129
Prime factors of 40129 are 40129. Prime factorization of 40129 in exponential form is:
40129 = 401291
Now multiplying the highest exponent prime factors to calculate the LCM of 40123 and 40129.
LCM(40123,40129) = 401231 × 401291
LCM(40123,40129) = 1610095867
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