What is the Least Common Multiple of 29509 and 29522?
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 29509 and 29522 is 871164698.
LCM(29509,29522) = 871164698
Least Common Multiple of 29509 and 29522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29509 and 29522, than apply into the LCM equation.
GCF(29509,29522) = 1
LCM(29509,29522) = ( 29509 × 29522) / 1
LCM(29509,29522) = 871164698 / 1
LCM(29509,29522) = 871164698
Least Common Multiple (LCM) of 29509 and 29522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29509 and 29522. First we will calculate the prime factors of 29509 and 29522.
Prime Factorization of 29509
Prime factors of 29509 are 23, 1283. Prime factorization of 29509 in exponential form is:
29509 = 231 × 12831
Prime Factorization of 29522
Prime factors of 29522 are 2, 29, 509. Prime factorization of 29522 in exponential form is:
29522 = 21 × 291 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 29509 and 29522.
LCM(29509,29522) = 231 × 12831 × 21 × 291 × 5091
LCM(29509,29522) = 871164698
Related Least Common Multiples of 29509
- LCM of 29509 and 29513
- LCM of 29509 and 29514
- LCM of 29509 and 29515
- LCM of 29509 and 29516
- LCM of 29509 and 29517
- LCM of 29509 and 29518
- LCM of 29509 and 29519
- LCM of 29509 and 29520
- LCM of 29509 and 29521
- LCM of 29509 and 29522
- LCM of 29509 and 29523
- LCM of 29509 and 29524
- LCM of 29509 and 29525
- LCM of 29509 and 29526
- LCM of 29509 and 29527
- LCM of 29509 and 29528
- LCM of 29509 and 29529
Related Least Common Multiples of 29522
- LCM of 29522 and 29526
- LCM of 29522 and 29527
- LCM of 29522 and 29528
- LCM of 29522 and 29529
- LCM of 29522 and 29530
- LCM of 29522 and 29531
- LCM of 29522 and 29532
- LCM of 29522 and 29533
- LCM of 29522 and 29534
- LCM of 29522 and 29535
- LCM of 29522 and 29536
- LCM of 29522 and 29537
- LCM of 29522 and 29538
- LCM of 29522 and 29539
- LCM of 29522 and 29540
- LCM of 29522 and 29541
- LCM of 29522 and 29542