What is the Least Common Multiple of 22830 and 22842?
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 22830 and 22842 is 86913810.
LCM(22830,22842) = 86913810
Least Common Multiple of 22830 and 22842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22830 and 22842, than apply into the LCM equation.
GCF(22830,22842) = 6
LCM(22830,22842) = ( 22830 × 22842) / 6
LCM(22830,22842) = 521482860 / 6
LCM(22830,22842) = 86913810
Least Common Multiple (LCM) of 22830 and 22842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22830 and 22842. First we will calculate the prime factors of 22830 and 22842.
Prime Factorization of 22830
Prime factors of 22830 are 2, 3, 5, 761. Prime factorization of 22830 in exponential form is:
22830 = 21 × 31 × 51 × 7611
Prime Factorization of 22842
Prime factors of 22842 are 2, 3, 47. Prime factorization of 22842 in exponential form is:
22842 = 21 × 35 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 22830 and 22842.
LCM(22830,22842) = 21 × 35 × 51 × 7611 × 471
LCM(22830,22842) = 86913810
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