What is the Least Common Multiple of 675 and 684?
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 675 and 684 is 51300.
LCM(675,684) = 51300
Least Common Multiple of 675 and 684 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 675 and 684, than apply into the LCM equation.
GCF(675,684) = 9
LCM(675,684) = ( 675 × 684) / 9
LCM(675,684) = 461700 / 9
LCM(675,684) = 51300
Least Common Multiple (LCM) of 675 and 684 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 684. First we will calculate the prime factors of 675 and 684.
Prime Factorization of 675
Prime factors of 675 are 3, 5. Prime factorization of 675 in exponential form is:
675 = 33 × 52
Prime Factorization of 684
Prime factors of 684 are 2, 3, 19. Prime factorization of 684 in exponential form is:
684 = 22 × 32 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 675 and 684.
LCM(675,684) = 33 × 52 × 22 × 191
LCM(675,684) = 51300
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
Related Least Common Multiples of 684
- LCM of 684 and 688
- LCM of 684 and 689
- LCM of 684 and 690
- LCM of 684 and 691
- LCM of 684 and 692
- LCM of 684 and 693
- LCM of 684 and 694
- LCM of 684 and 695
- LCM of 684 and 696
- LCM of 684 and 697
- LCM of 684 and 698
- LCM of 684 and 699
- LCM of 684 and 700
- LCM of 684 and 701
- LCM of 684 and 702
- LCM of 684 and 703
- LCM of 684 and 704