What is the Least Common Multiple of 33470 and 33480?
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 33470 and 33480 is 112057560.
LCM(33470,33480) = 112057560
Least Common Multiple of 33470 and 33480 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33470 and 33480, than apply into the LCM equation.
GCF(33470,33480) = 10
LCM(33470,33480) = ( 33470 × 33480) / 10
LCM(33470,33480) = 1120575600 / 10
LCM(33470,33480) = 112057560
Least Common Multiple (LCM) of 33470 and 33480 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33470 and 33480. First we will calculate the prime factors of 33470 and 33480.
Prime Factorization of 33470
Prime factors of 33470 are 2, 5, 3347. Prime factorization of 33470 in exponential form is:
33470 = 21 × 51 × 33471
Prime Factorization of 33480
Prime factors of 33480 are 2, 3, 5, 31. Prime factorization of 33480 in exponential form is:
33480 = 23 × 33 × 51 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 33470 and 33480.
LCM(33470,33480) = 23 × 51 × 33471 × 33 × 311
LCM(33470,33480) = 112057560
Related Least Common Multiples of 33470
- LCM of 33470 and 33474
- LCM of 33470 and 33475
- LCM of 33470 and 33476
- LCM of 33470 and 33477
- LCM of 33470 and 33478
- LCM of 33470 and 33479
- LCM of 33470 and 33480
- LCM of 33470 and 33481
- LCM of 33470 and 33482
- LCM of 33470 and 33483
- LCM of 33470 and 33484
- LCM of 33470 and 33485
- LCM of 33470 and 33486
- LCM of 33470 and 33487
- LCM of 33470 and 33488
- LCM of 33470 and 33489
- LCM of 33470 and 33490
Related Least Common Multiples of 33480
- LCM of 33480 and 33484
- LCM of 33480 and 33485
- LCM of 33480 and 33486
- LCM of 33480 and 33487
- LCM of 33480 and 33488
- LCM of 33480 and 33489
- LCM of 33480 and 33490
- LCM of 33480 and 33491
- LCM of 33480 and 33492
- LCM of 33480 and 33493
- LCM of 33480 and 33494
- LCM of 33480 and 33495
- LCM of 33480 and 33496
- LCM of 33480 and 33497
- LCM of 33480 and 33498
- LCM of 33480 and 33499
- LCM of 33480 and 33500