What is the Least Common Multiple of 22290 and 22294?
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 22290 and 22294 is 248466630.
LCM(22290,22294) = 248466630
Least Common Multiple of 22290 and 22294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22290 and 22294, than apply into the LCM equation.
GCF(22290,22294) = 2
LCM(22290,22294) = ( 22290 × 22294) / 2
LCM(22290,22294) = 496933260 / 2
LCM(22290,22294) = 248466630
Least Common Multiple (LCM) of 22290 and 22294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22290 and 22294. First we will calculate the prime factors of 22290 and 22294.
Prime Factorization of 22290
Prime factors of 22290 are 2, 3, 5, 743. Prime factorization of 22290 in exponential form is:
22290 = 21 × 31 × 51 × 7431
Prime Factorization of 22294
Prime factors of 22294 are 2, 71, 157. Prime factorization of 22294 in exponential form is:
22294 = 21 × 711 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 22290 and 22294.
LCM(22290,22294) = 21 × 31 × 51 × 7431 × 711 × 1571
LCM(22290,22294) = 248466630
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