What is the Least Common Multiple of 30502 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 30502 and 30520 is 465460520.
LCM(30502,30520) = 465460520
Least Common Multiple of 30502 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 30502 and 30520, than apply into the LCM equation.
GCF(30502,30520) = 2
LCM(30502,30520) = ( 30502 × 30520) / 2
LCM(30502,30520) = 930921040 / 2
LCM(30502,30520) = 465460520
Least Common Multiple (LCM) of 30502 and 30520 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30502 and 30520. First we will calculate the prime factors of 30502 and 30520.
Prime Factorization of 30502
Prime factors of 30502 are 2, 101, 151. Prime factorization of 30502 in exponential form is:
30502 = 21 × 1011 × 1511
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 30502 and 30520.
LCM(30502,30520) = 23 × 1011 × 1511 × 51 × 71 × 1091
LCM(30502,30520) = 465460520
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