What is the Least Common Multiple of 640 and 657?
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 640 and 657 is 420480.
LCM(640,657) = 420480
Least Common Multiple of 640 and 657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 640 and 657, than apply into the LCM equation.
GCF(640,657) = 1
LCM(640,657) = ( 640 × 657) / 1
LCM(640,657) = 420480 / 1
LCM(640,657) = 420480
Least Common Multiple (LCM) of 640 and 657 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 640 and 657. First we will calculate the prime factors of 640 and 657.
Prime Factorization of 640
Prime factors of 640 are 2, 5. Prime factorization of 640 in exponential form is:
640 = 27 × 51
Prime Factorization of 657
Prime factors of 657 are 3, 73. Prime factorization of 657 in exponential form is:
657 = 32 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 640 and 657.
LCM(640,657) = 27 × 51 × 32 × 731
LCM(640,657) = 420480
Related Least Common Multiples of 640
- LCM of 640 and 644
- LCM of 640 and 645
- LCM of 640 and 646
- LCM of 640 and 647
- LCM of 640 and 648
- LCM of 640 and 649
- LCM of 640 and 650
- LCM of 640 and 651
- LCM of 640 and 652
- LCM of 640 and 653
- LCM of 640 and 654
- LCM of 640 and 655
- LCM of 640 and 656
- LCM of 640 and 657
- LCM of 640 and 658
- LCM of 640 and 659
- LCM of 640 and 660
Related Least Common Multiples of 657
- LCM of 657 and 661
- LCM of 657 and 662
- LCM of 657 and 663
- LCM of 657 and 664
- LCM of 657 and 665
- LCM of 657 and 666
- LCM of 657 and 667
- LCM of 657 and 668
- LCM of 657 and 669
- LCM of 657 and 670
- LCM of 657 and 671
- LCM of 657 and 672
- LCM of 657 and 673
- LCM of 657 and 674
- LCM of 657 and 675
- LCM of 657 and 676
- LCM of 657 and 677