What is the Least Common Multiple of 690 and 698?
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 690 and 698 is 240810.
LCM(690,698) = 240810
Least Common Multiple of 690 and 698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 690 and 698, than apply into the LCM equation.
GCF(690,698) = 2
LCM(690,698) = ( 690 × 698) / 2
LCM(690,698) = 481620 / 2
LCM(690,698) = 240810
Least Common Multiple (LCM) of 690 and 698 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 698. First we will calculate the prime factors of 690 and 698.
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
Prime Factorization of 698
Prime factors of 698 are 2, 349. Prime factorization of 698 in exponential form is:
698 = 21 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 690 and 698.
LCM(690,698) = 21 × 31 × 51 × 231 × 3491
LCM(690,698) = 240810
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
Related Least Common Multiples of 698
- LCM of 698 and 702
- LCM of 698 and 703
- LCM of 698 and 704
- LCM of 698 and 705
- LCM of 698 and 706
- LCM of 698 and 707
- LCM of 698 and 708
- LCM of 698 and 709
- LCM of 698 and 710
- LCM of 698 and 711
- LCM of 698 and 712
- LCM of 698 and 713
- LCM of 698 and 714
- LCM of 698 and 715
- LCM of 698 and 716
- LCM of 698 and 717
- LCM of 698 and 718