What is the Least Common Multiple of 668 and 685?
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 668 and 685 is 457580.
LCM(668,685) = 457580
Least Common Multiple of 668 and 685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 668 and 685, than apply into the LCM equation.
GCF(668,685) = 1
LCM(668,685) = ( 668 × 685) / 1
LCM(668,685) = 457580 / 1
LCM(668,685) = 457580
Least Common Multiple (LCM) of 668 and 685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 668 and 685. First we will calculate the prime factors of 668 and 685.
Prime Factorization of 668
Prime factors of 668 are 2, 167. Prime factorization of 668 in exponential form is:
668 = 22 × 1671
Prime Factorization of 685
Prime factors of 685 are 5, 137. Prime factorization of 685 in exponential form is:
685 = 51 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 668 and 685.
LCM(668,685) = 22 × 1671 × 51 × 1371
LCM(668,685) = 457580
Related Least Common Multiples of 668
- LCM of 668 and 672
- LCM of 668 and 673
- LCM of 668 and 674
- LCM of 668 and 675
- LCM of 668 and 676
- LCM of 668 and 677
- LCM of 668 and 678
- LCM of 668 and 679
- LCM of 668 and 680
- LCM of 668 and 681
- LCM of 668 and 682
- LCM of 668 and 683
- LCM of 668 and 684
- LCM of 668 and 685
- LCM of 668 and 686
- LCM of 668 and 687
- LCM of 668 and 688
Related Least Common Multiples of 685
- LCM of 685 and 689
- LCM of 685 and 690
- LCM of 685 and 691
- LCM of 685 and 692
- LCM of 685 and 693
- LCM of 685 and 694
- LCM of 685 and 695
- LCM of 685 and 696
- LCM of 685 and 697
- LCM of 685 and 698
- LCM of 685 and 699
- LCM of 685 and 700
- LCM of 685 and 701
- LCM of 685 and 702
- LCM of 685 and 703
- LCM of 685 and 704
- LCM of 685 and 705