What is the Least Common Multiple of 659 and 675?
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 659 and 675 is 444825.
LCM(659,675) = 444825
Least Common Multiple of 659 and 675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 659 and 675, than apply into the LCM equation.
GCF(659,675) = 1
LCM(659,675) = ( 659 × 675) / 1
LCM(659,675) = 444825 / 1
LCM(659,675) = 444825
Least Common Multiple (LCM) of 659 and 675 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 659 and 675. First we will calculate the prime factors of 659 and 675.
Prime Factorization of 659
Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:
659 = 6591
Prime Factorization of 675
Prime factors of 675 are 3, 5. Prime factorization of 675 in exponential form is:
675 = 33 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 659 and 675.
LCM(659,675) = 6591 × 33 × 52
LCM(659,675) = 444825
Related Least Common Multiples of 659
- LCM of 659 and 663
- LCM of 659 and 664
- LCM of 659 and 665
- LCM of 659 and 666
- LCM of 659 and 667
- LCM of 659 and 668
- LCM of 659 and 669
- LCM of 659 and 670
- LCM of 659 and 671
- LCM of 659 and 672
- LCM of 659 and 673
- LCM of 659 and 674
- LCM of 659 and 675
- LCM of 659 and 676
- LCM of 659 and 677
- LCM of 659 and 678
- LCM of 659 and 679
Related Least Common Multiples of 675
- LCM of 675 and 679
- LCM of 675 and 680
- LCM of 675 and 681
- LCM of 675 and 682
- LCM of 675 and 683
- LCM of 675 and 684
- LCM of 675 and 685
- LCM of 675 and 686
- LCM of 675 and 687
- LCM of 675 and 688
- LCM of 675 and 689
- LCM of 675 and 690
- LCM of 675 and 691
- LCM of 675 and 692
- LCM of 675 and 693
- LCM of 675 and 694
- LCM of 675 and 695