What is the Least Common Multiple of 645 and 660?
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 645 and 660 is 28380.
LCM(645,660) = 28380
Least Common Multiple of 645 and 660 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 645 and 660, than apply into the LCM equation.
GCF(645,660) = 15
LCM(645,660) = ( 645 × 660) / 15
LCM(645,660) = 425700 / 15
LCM(645,660) = 28380
Least Common Multiple (LCM) of 645 and 660 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 645 and 660. First we will calculate the prime factors of 645 and 660.
Prime Factorization of 645
Prime factors of 645 are 3, 5, 43. Prime factorization of 645 in exponential form is:
645 = 31 × 51 × 431
Prime Factorization of 660
Prime factors of 660 are 2, 3, 5, 11. Prime factorization of 660 in exponential form is:
660 = 22 × 31 × 51 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 645 and 660.
LCM(645,660) = 31 × 51 × 431 × 22 × 111
LCM(645,660) = 28380
Related Least Common Multiples of 645
- LCM of 645 and 649
- LCM of 645 and 650
- LCM of 645 and 651
- LCM of 645 and 652
- LCM of 645 and 653
- LCM of 645 and 654
- LCM of 645 and 655
- LCM of 645 and 656
- LCM of 645 and 657
- LCM of 645 and 658
- LCM of 645 and 659
- LCM of 645 and 660
- LCM of 645 and 661
- LCM of 645 and 662
- LCM of 645 and 663
- LCM of 645 and 664
- LCM of 645 and 665
Related Least Common Multiples of 660
- LCM of 660 and 664
- LCM of 660 and 665
- LCM of 660 and 666
- LCM of 660 and 667
- LCM of 660 and 668
- LCM of 660 and 669
- LCM of 660 and 670
- LCM of 660 and 671
- LCM of 660 and 672
- LCM of 660 and 673
- LCM of 660 and 674
- LCM of 660 and 675
- LCM of 660 and 676
- LCM of 660 and 677
- LCM of 660 and 678
- LCM of 660 and 679
- LCM of 660 and 680