What is the Least Common Multiple of 30508 and 30520?
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 30508 and 30520 is 232776040.
LCM(30508,30520) = 232776040
Least Common Multiple of 30508 and 30520 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30508 and 30520, than apply into the LCM equation.
GCF(30508,30520) = 4
LCM(30508,30520) = ( 30508 × 30520) / 4
LCM(30508,30520) = 931104160 / 4
LCM(30508,30520) = 232776040
Least Common Multiple (LCM) of 30508 and 30520 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30508 and 30520. First we will calculate the prime factors of 30508 and 30520.
Prime Factorization of 30508
Prime factors of 30508 are 2, 29, 263. Prime factorization of 30508 in exponential form is:
30508 = 22 × 291 × 2631
Prime Factorization of 30520
Prime factors of 30520 are 2, 5, 7, 109. Prime factorization of 30520 in exponential form is:
30520 = 23 × 51 × 71 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 30508 and 30520.
LCM(30508,30520) = 23 × 291 × 2631 × 51 × 71 × 1091
LCM(30508,30520) = 232776040
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