What is the Least Common Multiple of 22622 and 22630?
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 22622 and 22630 is 255967930.
LCM(22622,22630) = 255967930
Least Common Multiple of 22622 and 22630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22622 and 22630, than apply into the LCM equation.
GCF(22622,22630) = 2
LCM(22622,22630) = ( 22622 × 22630) / 2
LCM(22622,22630) = 511935860 / 2
LCM(22622,22630) = 255967930
Least Common Multiple (LCM) of 22622 and 22630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22622 and 22630. First we will calculate the prime factors of 22622 and 22630.
Prime Factorization of 22622
Prime factors of 22622 are 2, 11311. Prime factorization of 22622 in exponential form is:
22622 = 21 × 113111
Prime Factorization of 22630
Prime factors of 22630 are 2, 5, 31, 73. Prime factorization of 22630 in exponential form is:
22630 = 21 × 51 × 311 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 22622 and 22630.
LCM(22622,22630) = 21 × 113111 × 51 × 311 × 731
LCM(22622,22630) = 255967930
Related Least Common Multiples of 22622
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