What is the Least Common Multiple of 40082 and 40095?
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 40082 and 40095 is 1607087790.
LCM(40082,40095) = 1607087790
Least Common Multiple of 40082 and 40095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40082 and 40095, than apply into the LCM equation.
GCF(40082,40095) = 1
LCM(40082,40095) = ( 40082 × 40095) / 1
LCM(40082,40095) = 1607087790 / 1
LCM(40082,40095) = 1607087790
Least Common Multiple (LCM) of 40082 and 40095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40082 and 40095. First we will calculate the prime factors of 40082 and 40095.
Prime Factorization of 40082
Prime factors of 40082 are 2, 7, 409. Prime factorization of 40082 in exponential form is:
40082 = 21 × 72 × 4091
Prime Factorization of 40095
Prime factors of 40095 are 3, 5, 11. Prime factorization of 40095 in exponential form is:
40095 = 36 × 51 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 40082 and 40095.
LCM(40082,40095) = 21 × 72 × 4091 × 36 × 51 × 111
LCM(40082,40095) = 1607087790
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