What is the Least Common Multiple of 2507 and 2517?
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 2507 and 2517 is 6310119.
LCM(2507,2517) = 6310119
Least Common Multiple of 2507 and 2517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2507 and 2517, than apply into the LCM equation.
GCF(2507,2517) = 1
LCM(2507,2517) = ( 2507 × 2517) / 1
LCM(2507,2517) = 6310119 / 1
LCM(2507,2517) = 6310119
Least Common Multiple (LCM) of 2507 and 2517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2507 and 2517. First we will calculate the prime factors of 2507 and 2517.
Prime Factorization of 2507
Prime factors of 2507 are 23, 109. Prime factorization of 2507 in exponential form is:
2507 = 231 × 1091
Prime Factorization of 2517
Prime factors of 2517 are 3, 839. Prime factorization of 2517 in exponential form is:
2517 = 31 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 2507 and 2517.
LCM(2507,2517) = 231 × 1091 × 31 × 8391
LCM(2507,2517) = 6310119
Related Least Common Multiples of 2507
- LCM of 2507 and 2511
- LCM of 2507 and 2512
- LCM of 2507 and 2513
- LCM of 2507 and 2514
- LCM of 2507 and 2515
- LCM of 2507 and 2516
- LCM of 2507 and 2517
- LCM of 2507 and 2518
- LCM of 2507 and 2519
- LCM of 2507 and 2520
- LCM of 2507 and 2521
- LCM of 2507 and 2522
- LCM of 2507 and 2523
- LCM of 2507 and 2524
- LCM of 2507 and 2525
- LCM of 2507 and 2526
- LCM of 2507 and 2527
Related Least Common Multiples of 2517
- LCM of 2517 and 2521
- LCM of 2517 and 2522
- LCM of 2517 and 2523
- LCM of 2517 and 2524
- LCM of 2517 and 2525
- LCM of 2517 and 2526
- LCM of 2517 and 2527
- LCM of 2517 and 2528
- LCM of 2517 and 2529
- LCM of 2517 and 2530
- LCM of 2517 and 2531
- LCM of 2517 and 2532
- LCM of 2517 and 2533
- LCM of 2517 and 2534
- LCM of 2517 and 2535
- LCM of 2517 and 2536
- LCM of 2517 and 2537