What is the Least Common Multiple of 22030 and 22041?
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 22030 and 22041 is 485563230.
LCM(22030,22041) = 485563230
Least Common Multiple of 22030 and 22041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22030 and 22041, than apply into the LCM equation.
GCF(22030,22041) = 1
LCM(22030,22041) = ( 22030 × 22041) / 1
LCM(22030,22041) = 485563230 / 1
LCM(22030,22041) = 485563230
Least Common Multiple (LCM) of 22030 and 22041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22030 and 22041. First we will calculate the prime factors of 22030 and 22041.
Prime Factorization of 22030
Prime factors of 22030 are 2, 5, 2203. Prime factorization of 22030 in exponential form is:
22030 = 21 × 51 × 22031
Prime Factorization of 22041
Prime factors of 22041 are 3, 31, 79. Prime factorization of 22041 in exponential form is:
22041 = 32 × 311 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 22030 and 22041.
LCM(22030,22041) = 21 × 51 × 22031 × 32 × 311 × 791
LCM(22030,22041) = 485563230
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