What is the Least Common Multiple of 30590 and 30602?
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 30590 and 30602 is 468057590.
LCM(30590,30602) = 468057590
Least Common Multiple of 30590 and 30602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30590 and 30602, than apply into the LCM equation.
GCF(30590,30602) = 2
LCM(30590,30602) = ( 30590 × 30602) / 2
LCM(30590,30602) = 936115180 / 2
LCM(30590,30602) = 468057590
Least Common Multiple (LCM) of 30590 and 30602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30590 and 30602. First we will calculate the prime factors of 30590 and 30602.
Prime Factorization of 30590
Prime factors of 30590 are 2, 5, 7, 19, 23. Prime factorization of 30590 in exponential form is:
30590 = 21 × 51 × 71 × 191 × 231
Prime Factorization of 30602
Prime factors of 30602 are 2, 11, 13, 107. Prime factorization of 30602 in exponential form is:
30602 = 21 × 111 × 131 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 30590 and 30602.
LCM(30590,30602) = 21 × 51 × 71 × 191 × 231 × 111 × 131 × 1071
LCM(30590,30602) = 468057590
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