What is the Least Common Multiple of 30513 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 30513 and 30520 is 133036680.
LCM(30513,30520) = 133036680
Least Common Multiple of 30513 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 30513 and 30520, than apply into the LCM equation.
GCF(30513,30520) = 7
LCM(30513,30520) = ( 30513 × 30520) / 7
LCM(30513,30520) = 931256760 / 7
LCM(30513,30520) = 133036680
Least Common Multiple (LCM) of 30513 and 30520 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30513 and 30520. First we will calculate the prime factors of 30513 and 30520.
Prime Factorization of 30513
Prime factors of 30513 are 3, 7, 1453. Prime factorization of 30513 in exponential form is:
30513 = 31 × 71 × 14531
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 30513 and 30520.
LCM(30513,30520) = 31 × 71 × 14531 × 23 × 51 × 1091
LCM(30513,30520) = 133036680
Related Least Common Multiples of 30513
- LCM of 30513 and 30517
- LCM of 30513 and 30518
- LCM of 30513 and 30519
- LCM of 30513 and 30520
- LCM of 30513 and 30521
- LCM of 30513 and 30522
- LCM of 30513 and 30523
- LCM of 30513 and 30524
- LCM of 30513 and 30525
- LCM of 30513 and 30526
- LCM of 30513 and 30527
- LCM of 30513 and 30528
- LCM of 30513 and 30529
- LCM of 30513 and 30530
- LCM of 30513 and 30531
- LCM of 30513 and 30532
- LCM of 30513 and 30533
Related Least Common Multiples of 30520
- LCM of 30520 and 30524
- LCM of 30520 and 30525
- LCM of 30520 and 30526
- LCM of 30520 and 30527
- LCM of 30520 and 30528
- LCM of 30520 and 30529
- LCM of 30520 and 30530
- LCM of 30520 and 30531
- LCM of 30520 and 30532
- LCM of 30520 and 30533
- LCM of 30520 and 30534
- LCM of 30520 and 30535
- LCM of 30520 and 30536
- LCM of 30520 and 30537
- LCM of 30520 and 30538
- LCM of 30520 and 30539
- LCM of 30520 and 30540