What is the Least Common Multiple of 45509 and 45529?
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 45509 and 45529 is 2071979261.
LCM(45509,45529) = 2071979261
Least Common Multiple of 45509 and 45529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45509 and 45529, than apply into the LCM equation.
GCF(45509,45529) = 1
LCM(45509,45529) = ( 45509 × 45529) / 1
LCM(45509,45529) = 2071979261 / 1
LCM(45509,45529) = 2071979261
Least Common Multiple (LCM) of 45509 and 45529 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45509 and 45529. First we will calculate the prime factors of 45509 and 45529.
Prime Factorization of 45509
Prime factors of 45509 are 17, 2677. Prime factorization of 45509 in exponential form is:
45509 = 171 × 26771
Prime Factorization of 45529
Prime factors of 45529 are 11, 4139. Prime factorization of 45529 in exponential form is:
45529 = 111 × 41391
Now multiplying the highest exponent prime factors to calculate the LCM of 45509 and 45529.
LCM(45509,45529) = 171 × 26771 × 111 × 41391
LCM(45509,45529) = 2071979261
Related Least Common Multiples of 45509
- LCM of 45509 and 45513
- LCM of 45509 and 45514
- LCM of 45509 and 45515
- LCM of 45509 and 45516
- LCM of 45509 and 45517
- LCM of 45509 and 45518
- LCM of 45509 and 45519
- LCM of 45509 and 45520
- LCM of 45509 and 45521
- LCM of 45509 and 45522
- LCM of 45509 and 45523
- LCM of 45509 and 45524
- LCM of 45509 and 45525
- LCM of 45509 and 45526
- LCM of 45509 and 45527
- LCM of 45509 and 45528
- LCM of 45509 and 45529
Related Least Common Multiples of 45529
- LCM of 45529 and 45533
- LCM of 45529 and 45534
- LCM of 45529 and 45535
- LCM of 45529 and 45536
- LCM of 45529 and 45537
- LCM of 45529 and 45538
- LCM of 45529 and 45539
- LCM of 45529 and 45540
- LCM of 45529 and 45541
- LCM of 45529 and 45542
- LCM of 45529 and 45543
- LCM of 45529 and 45544
- LCM of 45529 and 45545
- LCM of 45529 and 45546
- LCM of 45529 and 45547
- LCM of 45529 and 45548
- LCM of 45529 and 45549