What is the Least Common Multiple of 30591 and 30608?
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 30591 and 30608 is 936329328.
LCM(30591,30608) = 936329328
Least Common Multiple of 30591 and 30608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30591 and 30608, than apply into the LCM equation.
GCF(30591,30608) = 1
LCM(30591,30608) = ( 30591 × 30608) / 1
LCM(30591,30608) = 936329328 / 1
LCM(30591,30608) = 936329328
Least Common Multiple (LCM) of 30591 and 30608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30591 and 30608. First we will calculate the prime factors of 30591 and 30608.
Prime Factorization of 30591
Prime factors of 30591 are 3, 11, 103. Prime factorization of 30591 in exponential form is:
30591 = 33 × 111 × 1031
Prime Factorization of 30608
Prime factors of 30608 are 2, 1913. Prime factorization of 30608 in exponential form is:
30608 = 24 × 19131
Now multiplying the highest exponent prime factors to calculate the LCM of 30591 and 30608.
LCM(30591,30608) = 33 × 111 × 1031 × 24 × 19131
LCM(30591,30608) = 936329328
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