What is the Least Common Multiple of 649 and 664?
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 649 and 664 is 430936.
LCM(649,664) = 430936
Least Common Multiple of 649 and 664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 649 and 664, than apply into the LCM equation.
GCF(649,664) = 1
LCM(649,664) = ( 649 × 664) / 1
LCM(649,664) = 430936 / 1
LCM(649,664) = 430936
Least Common Multiple (LCM) of 649 and 664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 664. First we will calculate the prime factors of 649 and 664.
Prime Factorization of 649
Prime factors of 649 are 11, 59. Prime factorization of 649 in exponential form is:
649 = 111 × 591
Prime Factorization of 664
Prime factors of 664 are 2, 83. Prime factorization of 664 in exponential form is:
664 = 23 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 664.
LCM(649,664) = 111 × 591 × 23 × 831
LCM(649,664) = 430936
Related Least Common Multiples of 649
- LCM of 649 and 653
- LCM of 649 and 654
- LCM of 649 and 655
- LCM of 649 and 656
- LCM of 649 and 657
- LCM of 649 and 658
- LCM of 649 and 659
- LCM of 649 and 660
- LCM of 649 and 661
- LCM of 649 and 662
- LCM of 649 and 663
- LCM of 649 and 664
- LCM of 649 and 665
- LCM of 649 and 666
- LCM of 649 and 667
- LCM of 649 and 668
- LCM of 649 and 669
Related Least Common Multiples of 664
- LCM of 664 and 668
- LCM of 664 and 669
- LCM of 664 and 670
- LCM of 664 and 671
- LCM of 664 and 672
- LCM of 664 and 673
- LCM of 664 and 674
- LCM of 664 and 675
- LCM of 664 and 676
- LCM of 664 and 677
- LCM of 664 and 678
- LCM of 664 and 679
- LCM of 664 and 680
- LCM of 664 and 681
- LCM of 664 and 682
- LCM of 664 and 683
- LCM of 664 and 684