What is the Least Common Multiple of 660 and 665?
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 660 and 665 is 87780.
LCM(660,665) = 87780
Least Common Multiple of 660 and 665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 660 and 665, than apply into the LCM equation.
GCF(660,665) = 5
LCM(660,665) = ( 660 × 665) / 5
LCM(660,665) = 438900 / 5
LCM(660,665) = 87780
Least Common Multiple (LCM) of 660 and 665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 665. First we will calculate the prime factors of 660 and 665.
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
Prime Factorization of 665
Prime factors of 665 are 5, 7, 19. Prime factorization of 665 in exponential form is:
665 = 51 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 660 and 665.
LCM(660,665) = 22 × 31 × 51 × 111 × 71 × 191
LCM(660,665) = 87780
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
Related Least Common Multiples of 665
- LCM of 665 and 669
- LCM of 665 and 670
- LCM of 665 and 671
- LCM of 665 and 672
- LCM of 665 and 673
- LCM of 665 and 674
- LCM of 665 and 675
- LCM of 665 and 676
- LCM of 665 and 677
- LCM of 665 and 678
- LCM of 665 and 679
- LCM of 665 and 680
- LCM of 665 and 681
- LCM of 665 and 682
- LCM of 665 and 683
- LCM of 665 and 684
- LCM of 665 and 685