What is the Least Common Multiple of 680 and 690?
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 680 and 690 is 46920.
LCM(680,690) = 46920
Least Common Multiple of 680 and 690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 690, than apply into the LCM equation.
GCF(680,690) = 10
LCM(680,690) = ( 680 × 690) / 10
LCM(680,690) = 469200 / 10
LCM(680,690) = 46920
Least Common Multiple (LCM) of 680 and 690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 690. First we will calculate the prime factors of 680 and 690.
Prime Factorization of 680
Prime factors of 680 are 2, 5, 17. Prime factorization of 680 in exponential form is:
680 = 23 × 51 × 171
Prime Factorization of 690
Prime factors of 690 are 2, 3, 5, 23. Prime factorization of 690 in exponential form is:
690 = 21 × 31 × 51 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 690.
LCM(680,690) = 23 × 51 × 171 × 31 × 231
LCM(680,690) = 46920
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
Related Least Common Multiples of 690
- LCM of 690 and 694
- LCM of 690 and 695
- LCM of 690 and 696
- LCM of 690 and 697
- LCM of 690 and 698
- LCM of 690 and 699
- LCM of 690 and 700
- LCM of 690 and 701
- LCM of 690 and 702
- LCM of 690 and 703
- LCM of 690 and 704
- LCM of 690 and 705
- LCM of 690 and 706
- LCM of 690 and 707
- LCM of 690 and 708
- LCM of 690 and 709
- LCM of 690 and 710