What is the Least Common Multiple of 31496 and 31506?
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 31496 and 31506 is 496156488.
LCM(31496,31506) = 496156488
Least Common Multiple of 31496 and 31506 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31496 and 31506, than apply into the LCM equation.
GCF(31496,31506) = 2
LCM(31496,31506) = ( 31496 × 31506) / 2
LCM(31496,31506) = 992312976 / 2
LCM(31496,31506) = 496156488
Least Common Multiple (LCM) of 31496 and 31506 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31496 and 31506. First we will calculate the prime factors of 31496 and 31506.
Prime Factorization of 31496
Prime factors of 31496 are 2, 31, 127. Prime factorization of 31496 in exponential form is:
31496 = 23 × 311 × 1271
Prime Factorization of 31506
Prime factors of 31506 are 2, 3, 59, 89. Prime factorization of 31506 in exponential form is:
31506 = 21 × 31 × 591 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 31496 and 31506.
LCM(31496,31506) = 23 × 311 × 1271 × 31 × 591 × 891
LCM(31496,31506) = 496156488
Related Least Common Multiples of 31496
- LCM of 31496 and 31500
- LCM of 31496 and 31501
- LCM of 31496 and 31502
- LCM of 31496 and 31503
- LCM of 31496 and 31504
- LCM of 31496 and 31505
- LCM of 31496 and 31506
- LCM of 31496 and 31507
- LCM of 31496 and 31508
- LCM of 31496 and 31509
- LCM of 31496 and 31510
- LCM of 31496 and 31511
- LCM of 31496 and 31512
- LCM of 31496 and 31513
- LCM of 31496 and 31514
- LCM of 31496 and 31515
- LCM of 31496 and 31516
Related Least Common Multiples of 31506
- LCM of 31506 and 31510
- LCM of 31506 and 31511
- LCM of 31506 and 31512
- LCM of 31506 and 31513
- LCM of 31506 and 31514
- LCM of 31506 and 31515
- LCM of 31506 and 31516
- LCM of 31506 and 31517
- LCM of 31506 and 31518
- LCM of 31506 and 31519
- LCM of 31506 and 31520
- LCM of 31506 and 31521
- LCM of 31506 and 31522
- LCM of 31506 and 31523
- LCM of 31506 and 31524
- LCM of 31506 and 31525
- LCM of 31506 and 31526