What is the Least Common Multiple of 40203 and 40207?
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 40203 and 40207 is 1616442021.
LCM(40203,40207) = 1616442021
Least Common Multiple of 40203 and 40207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40203 and 40207, than apply into the LCM equation.
GCF(40203,40207) = 1
LCM(40203,40207) = ( 40203 × 40207) / 1
LCM(40203,40207) = 1616442021 / 1
LCM(40203,40207) = 1616442021
Least Common Multiple (LCM) of 40203 and 40207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40203 and 40207. First we will calculate the prime factors of 40203 and 40207.
Prime Factorization of 40203
Prime factors of 40203 are 3, 1489. Prime factorization of 40203 in exponential form is:
40203 = 33 × 14891
Prime Factorization of 40207
Prime factors of 40207 are 31, 1297. Prime factorization of 40207 in exponential form is:
40207 = 311 × 12971
Now multiplying the highest exponent prime factors to calculate the LCM of 40203 and 40207.
LCM(40203,40207) = 33 × 14891 × 311 × 12971
LCM(40203,40207) = 1616442021
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