What is the Least Common Multiple of 40899 and 40910?
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 40899 and 40910 is 1673178090.
LCM(40899,40910) = 1673178090
Least Common Multiple of 40899 and 40910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40899 and 40910, than apply into the LCM equation.
GCF(40899,40910) = 1
LCM(40899,40910) = ( 40899 × 40910) / 1
LCM(40899,40910) = 1673178090 / 1
LCM(40899,40910) = 1673178090
Least Common Multiple (LCM) of 40899 and 40910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40899 and 40910. First we will calculate the prime factors of 40899 and 40910.
Prime Factorization of 40899
Prime factors of 40899 are 3, 13633. Prime factorization of 40899 in exponential form is:
40899 = 31 × 136331
Prime Factorization of 40910
Prime factors of 40910 are 2, 5, 4091. Prime factorization of 40910 in exponential form is:
40910 = 21 × 51 × 40911
Now multiplying the highest exponent prime factors to calculate the LCM of 40899 and 40910.
LCM(40899,40910) = 31 × 136331 × 21 × 51 × 40911
LCM(40899,40910) = 1673178090
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