What is the Least Common Multiple of 37504 and 37523?
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 37504 and 37523 is 1407262592.
LCM(37504,37523) = 1407262592
Least Common Multiple of 37504 and 37523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37504 and 37523, than apply into the LCM equation.
GCF(37504,37523) = 1
LCM(37504,37523) = ( 37504 × 37523) / 1
LCM(37504,37523) = 1407262592 / 1
LCM(37504,37523) = 1407262592
Least Common Multiple (LCM) of 37504 and 37523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37504 and 37523. First we will calculate the prime factors of 37504 and 37523.
Prime Factorization of 37504
Prime factors of 37504 are 2, 293. Prime factorization of 37504 in exponential form is:
37504 = 27 × 2931
Prime Factorization of 37523
Prime factors of 37523 are 157, 239. Prime factorization of 37523 in exponential form is:
37523 = 1571 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 37504 and 37523.
LCM(37504,37523) = 27 × 2931 × 1571 × 2391
LCM(37504,37523) = 1407262592
Related Least Common Multiples of 37504
- LCM of 37504 and 37508
- LCM of 37504 and 37509
- LCM of 37504 and 37510
- LCM of 37504 and 37511
- LCM of 37504 and 37512
- LCM of 37504 and 37513
- LCM of 37504 and 37514
- LCM of 37504 and 37515
- LCM of 37504 and 37516
- LCM of 37504 and 37517
- LCM of 37504 and 37518
- LCM of 37504 and 37519
- LCM of 37504 and 37520
- LCM of 37504 and 37521
- LCM of 37504 and 37522
- LCM of 37504 and 37523
- LCM of 37504 and 37524
Related Least Common Multiples of 37523
- LCM of 37523 and 37527
- LCM of 37523 and 37528
- LCM of 37523 and 37529
- LCM of 37523 and 37530
- LCM of 37523 and 37531
- LCM of 37523 and 37532
- LCM of 37523 and 37533
- LCM of 37523 and 37534
- LCM of 37523 and 37535
- LCM of 37523 and 37536
- LCM of 37523 and 37537
- LCM of 37523 and 37538
- LCM of 37523 and 37539
- LCM of 37523 and 37540
- LCM of 37523 and 37541
- LCM of 37523 and 37542
- LCM of 37523 and 37543