What is the Least Common Multiple of 30568 and 30588?
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 30568 and 30588 is 233753496.
LCM(30568,30588) = 233753496
Least Common Multiple of 30568 and 30588 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30568 and 30588, than apply into the LCM equation.
GCF(30568,30588) = 4
LCM(30568,30588) = ( 30568 × 30588) / 4
LCM(30568,30588) = 935013984 / 4
LCM(30568,30588) = 233753496
Least Common Multiple (LCM) of 30568 and 30588 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30568 and 30588. First we will calculate the prime factors of 30568 and 30588.
Prime Factorization of 30568
Prime factors of 30568 are 2, 3821. Prime factorization of 30568 in exponential form is:
30568 = 23 × 38211
Prime Factorization of 30588
Prime factors of 30588 are 2, 3, 2549. Prime factorization of 30588 in exponential form is:
30588 = 22 × 31 × 25491
Now multiplying the highest exponent prime factors to calculate the LCM of 30568 and 30588.
LCM(30568,30588) = 23 × 38211 × 31 × 25491
LCM(30568,30588) = 233753496
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