What is the Least Common Multiple of 22890 and 22896?
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 22890 and 22896 is 87348240.
LCM(22890,22896) = 87348240
Least Common Multiple of 22890 and 22896 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22890 and 22896, than apply into the LCM equation.
GCF(22890,22896) = 6
LCM(22890,22896) = ( 22890 × 22896) / 6
LCM(22890,22896) = 524089440 / 6
LCM(22890,22896) = 87348240
Least Common Multiple (LCM) of 22890 and 22896 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22890 and 22896. First we will calculate the prime factors of 22890 and 22896.
Prime Factorization of 22890
Prime factors of 22890 are 2, 3, 5, 7, 109. Prime factorization of 22890 in exponential form is:
22890 = 21 × 31 × 51 × 71 × 1091
Prime Factorization of 22896
Prime factors of 22896 are 2, 3, 53. Prime factorization of 22896 in exponential form is:
22896 = 24 × 33 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 22890 and 22896.
LCM(22890,22896) = 24 × 33 × 51 × 71 × 1091 × 531
LCM(22890,22896) = 87348240
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