What is the Least Common Multiple of 22021 and 22030?
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 22021 and 22030 is 485122630.
LCM(22021,22030) = 485122630
Least Common Multiple of 22021 and 22030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22021 and 22030, than apply into the LCM equation.
GCF(22021,22030) = 1
LCM(22021,22030) = ( 22021 × 22030) / 1
LCM(22021,22030) = 485122630 / 1
LCM(22021,22030) = 485122630
Least Common Multiple (LCM) of 22021 and 22030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22021 and 22030. First we will calculate the prime factors of 22021 and 22030.
Prime Factorization of 22021
Prime factors of 22021 are 19, 61. Prime factorization of 22021 in exponential form is:
22021 = 192 × 611
Prime Factorization of 22030
Prime factors of 22030 are 2, 5, 2203. Prime factorization of 22030 in exponential form is:
22030 = 21 × 51 × 22031
Now multiplying the highest exponent prime factors to calculate the LCM of 22021 and 22030.
LCM(22021,22030) = 192 × 611 × 21 × 51 × 22031
LCM(22021,22030) = 485122630
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