What is the Least Common Multiple of 21326 and 21330?
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 21326 and 21330 is 227441790.
LCM(21326,21330) = 227441790
Least Common Multiple of 21326 and 21330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21326 and 21330, than apply into the LCM equation.
GCF(21326,21330) = 2
LCM(21326,21330) = ( 21326 × 21330) / 2
LCM(21326,21330) = 454883580 / 2
LCM(21326,21330) = 227441790
Least Common Multiple (LCM) of 21326 and 21330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21326 and 21330. First we will calculate the prime factors of 21326 and 21330.
Prime Factorization of 21326
Prime factors of 21326 are 2, 10663. Prime factorization of 21326 in exponential form is:
21326 = 21 × 106631
Prime Factorization of 21330
Prime factors of 21330 are 2, 3, 5, 79. Prime factorization of 21330 in exponential form is:
21330 = 21 × 33 × 51 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 21326 and 21330.
LCM(21326,21330) = 21 × 106631 × 33 × 51 × 791
LCM(21326,21330) = 227441790
Related Least Common Multiples of 21326
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Related Least Common Multiples of 21330
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