What is the Least Common Multiple of 623 and 640?
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 623 and 640 is 398720.
LCM(623,640) = 398720
Least Common Multiple of 623 and 640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 623 and 640, than apply into the LCM equation.
GCF(623,640) = 1
LCM(623,640) = ( 623 × 640) / 1
LCM(623,640) = 398720 / 1
LCM(623,640) = 398720
Least Common Multiple (LCM) of 623 and 640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 640. First we will calculate the prime factors of 623 and 640.
Prime Factorization of 623
Prime factors of 623 are 7, 89. Prime factorization of 623 in exponential form is:
623 = 71 × 891
Prime Factorization of 640
Prime factors of 640 are 2, 5. Prime factorization of 640 in exponential form is:
640 = 27 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 623 and 640.
LCM(623,640) = 71 × 891 × 27 × 51
LCM(623,640) = 398720
Related Least Common Multiples of 623
- LCM of 623 and 627
- LCM of 623 and 628
- LCM of 623 and 629
- LCM of 623 and 630
- LCM of 623 and 631
- LCM of 623 and 632
- LCM of 623 and 633
- LCM of 623 and 634
- LCM of 623 and 635
- LCM of 623 and 636
- LCM of 623 and 637
- LCM of 623 and 638
- LCM of 623 and 639
- LCM of 623 and 640
- LCM of 623 and 641
- LCM of 623 and 642
- LCM of 623 and 643
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