What is the Least Common Multiple of 22332 and 22339?
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 22332 and 22339 is 498874548.
LCM(22332,22339) = 498874548
Least Common Multiple of 22332 and 22339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22332 and 22339, than apply into the LCM equation.
GCF(22332,22339) = 1
LCM(22332,22339) = ( 22332 × 22339) / 1
LCM(22332,22339) = 498874548 / 1
LCM(22332,22339) = 498874548
Least Common Multiple (LCM) of 22332 and 22339 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22332 and 22339. First we will calculate the prime factors of 22332 and 22339.
Prime Factorization of 22332
Prime factors of 22332 are 2, 3, 1861. Prime factorization of 22332 in exponential form is:
22332 = 22 × 31 × 18611
Prime Factorization of 22339
Prime factors of 22339 are 89, 251. Prime factorization of 22339 in exponential form is:
22339 = 891 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 22332 and 22339.
LCM(22332,22339) = 22 × 31 × 18611 × 891 × 2511
LCM(22332,22339) = 498874548
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