What is the Least Common Multiple of 30501 and 30510?
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 30501 and 30510 is 103398390.
LCM(30501,30510) = 103398390
Least Common Multiple of 30501 and 30510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30501 and 30510, than apply into the LCM equation.
GCF(30501,30510) = 9
LCM(30501,30510) = ( 30501 × 30510) / 9
LCM(30501,30510) = 930585510 / 9
LCM(30501,30510) = 103398390
Least Common Multiple (LCM) of 30501 and 30510 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30501 and 30510. First we will calculate the prime factors of 30501 and 30510.
Prime Factorization of 30501
Prime factors of 30501 are 3, 3389. Prime factorization of 30501 in exponential form is:
30501 = 32 × 33891
Prime Factorization of 30510
Prime factors of 30510 are 2, 3, 5, 113. Prime factorization of 30510 in exponential form is:
30510 = 21 × 33 × 51 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 30501 and 30510.
LCM(30501,30510) = 33 × 33891 × 21 × 51 × 1131
LCM(30501,30510) = 103398390
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