What is the Least Common Multiple of 30030 and 30049?
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 30030 and 30049 is 902371470.
LCM(30030,30049) = 902371470
Least Common Multiple of 30030 and 30049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30030 and 30049, than apply into the LCM equation.
GCF(30030,30049) = 1
LCM(30030,30049) = ( 30030 × 30049) / 1
LCM(30030,30049) = 902371470 / 1
LCM(30030,30049) = 902371470
Least Common Multiple (LCM) of 30030 and 30049 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30030 and 30049. First we will calculate the prime factors of 30030 and 30049.
Prime Factorization of 30030
Prime factors of 30030 are 2, 3, 5, 7, 11, 13. Prime factorization of 30030 in exponential form is:
30030 = 21 × 31 × 51 × 71 × 111 × 131
Prime Factorization of 30049
Prime factors of 30049 are 151, 199. Prime factorization of 30049 in exponential form is:
30049 = 1511 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 30030 and 30049.
LCM(30030,30049) = 21 × 31 × 51 × 71 × 111 × 131 × 1511 × 1991
LCM(30030,30049) = 902371470
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