What is the Least Common Multiple of 33326 and 33330?
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 33326 and 33330 is 555377790.
LCM(33326,33330) = 555377790
Least Common Multiple of 33326 and 33330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33326 and 33330, than apply into the LCM equation.
GCF(33326,33330) = 2
LCM(33326,33330) = ( 33326 × 33330) / 2
LCM(33326,33330) = 1110755580 / 2
LCM(33326,33330) = 555377790
Least Common Multiple (LCM) of 33326 and 33330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33326 and 33330. First we will calculate the prime factors of 33326 and 33330.
Prime Factorization of 33326
Prime factors of 33326 are 2, 19, 877. Prime factorization of 33326 in exponential form is:
33326 = 21 × 191 × 8771
Prime Factorization of 33330
Prime factors of 33330 are 2, 3, 5, 11, 101. Prime factorization of 33330 in exponential form is:
33330 = 21 × 31 × 51 × 111 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 33326 and 33330.
LCM(33326,33330) = 21 × 191 × 8771 × 31 × 51 × 111 × 1011
LCM(33326,33330) = 555377790
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