What is the Least Common Multiple of 22018 and 22034?
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 22018 and 22034 is 242572306.
LCM(22018,22034) = 242572306
Least Common Multiple of 22018 and 22034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22018 and 22034, than apply into the LCM equation.
GCF(22018,22034) = 2
LCM(22018,22034) = ( 22018 × 22034) / 2
LCM(22018,22034) = 485144612 / 2
LCM(22018,22034) = 242572306
Least Common Multiple (LCM) of 22018 and 22034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22018 and 22034. First we will calculate the prime factors of 22018 and 22034.
Prime Factorization of 22018
Prime factors of 22018 are 2, 101, 109. Prime factorization of 22018 in exponential form is:
22018 = 21 × 1011 × 1091
Prime Factorization of 22034
Prime factors of 22034 are 2, 23, 479. Prime factorization of 22034 in exponential form is:
22034 = 21 × 231 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 22018 and 22034.
LCM(22018,22034) = 21 × 1011 × 1091 × 231 × 4791
LCM(22018,22034) = 242572306
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