What is the Least Common Multiple of 660 and 680?
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 680 is 22440.
LCM(660,680) = 22440
Least Common Multiple of 660 and 680 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 680, than apply into the LCM equation.
GCF(660,680) = 20
LCM(660,680) = ( 660 × 680) / 20
LCM(660,680) = 448800 / 20
LCM(660,680) = 22440
Least Common Multiple (LCM) of 660 and 680 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 680. First we will calculate the prime factors of 660 and 680.
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 680
Prime factors of 680 are 2, 5, 17. Prime factorization of 680 in exponential form is:
680 = 23 × 51 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 660 and 680.
LCM(660,680) = 23 × 31 × 51 × 111 × 171
LCM(660,680) = 22440
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 680
- LCM of 680 and 684
- LCM of 680 and 685
- LCM of 680 and 686
- LCM of 680 and 687
- LCM of 680 and 688
- LCM of 680 and 689
- LCM of 680 and 690
- LCM of 680 and 691
- LCM of 680 and 692
- LCM of 680 and 693
- LCM of 680 and 694
- LCM of 680 and 695
- LCM of 680 and 696
- LCM of 680 and 697
- LCM of 680 and 698
- LCM of 680 and 699
- LCM of 680 and 700