What is the Least Common Multiple of 31452 and 31461?
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 31452 and 31461 is 329837124.
LCM(31452,31461) = 329837124
Least Common Multiple of 31452 and 31461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31452 and 31461, than apply into the LCM equation.
GCF(31452,31461) = 3
LCM(31452,31461) = ( 31452 × 31461) / 3
LCM(31452,31461) = 989511372 / 3
LCM(31452,31461) = 329837124
Least Common Multiple (LCM) of 31452 and 31461 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31452 and 31461. First we will calculate the prime factors of 31452 and 31461.
Prime Factorization of 31452
Prime factors of 31452 are 2, 3, 2621. Prime factorization of 31452 in exponential form is:
31452 = 22 × 31 × 26211
Prime Factorization of 31461
Prime factors of 31461 are 3, 10487. Prime factorization of 31461 in exponential form is:
31461 = 31 × 104871
Now multiplying the highest exponent prime factors to calculate the LCM of 31452 and 31461.
LCM(31452,31461) = 22 × 31 × 26211 × 104871
LCM(31452,31461) = 329837124
Related Least Common Multiples of 31452
- LCM of 31452 and 31456
- LCM of 31452 and 31457
- LCM of 31452 and 31458
- LCM of 31452 and 31459
- LCM of 31452 and 31460
- LCM of 31452 and 31461
- LCM of 31452 and 31462
- LCM of 31452 and 31463
- LCM of 31452 and 31464
- LCM of 31452 and 31465
- LCM of 31452 and 31466
- LCM of 31452 and 31467
- LCM of 31452 and 31468
- LCM of 31452 and 31469
- LCM of 31452 and 31470
- LCM of 31452 and 31471
- LCM of 31452 and 31472
Related Least Common Multiples of 31461
- LCM of 31461 and 31465
- LCM of 31461 and 31466
- LCM of 31461 and 31467
- LCM of 31461 and 31468
- LCM of 31461 and 31469
- LCM of 31461 and 31470
- LCM of 31461 and 31471
- LCM of 31461 and 31472
- LCM of 31461 and 31473
- LCM of 31461 and 31474
- LCM of 31461 and 31475
- LCM of 31461 and 31476
- LCM of 31461 and 31477
- LCM of 31461 and 31478
- LCM of 31461 and 31479
- LCM of 31461 and 31480
- LCM of 31461 and 31481