What is the Least Common Multiple of 675 and 692?
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 692 is 467100.
LCM(675,692) = 467100
Least Common Multiple of 675 and 692 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 692, than apply into the LCM equation.
GCF(675,692) = 1
LCM(675,692) = ( 675 × 692) / 1
LCM(675,692) = 467100 / 1
LCM(675,692) = 467100
Least Common Multiple (LCM) of 675 and 692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 692. First we will calculate the prime factors of 675 and 692.
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 692
Prime factors of 692 are 2, 173. Prime factorization of 692 in exponential form is:
692 = 22 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 675 and 692.
LCM(675,692) = 33 × 52 × 22 × 1731
LCM(675,692) = 467100
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 692
- LCM of 692 and 696
- LCM of 692 and 697
- LCM of 692 and 698
- LCM of 692 and 699
- LCM of 692 and 700
- LCM of 692 and 701
- LCM of 692 and 702
- LCM of 692 and 703
- LCM of 692 and 704
- LCM of 692 and 705
- LCM of 692 and 706
- LCM of 692 and 707
- LCM of 692 and 708
- LCM of 692 and 709
- LCM of 692 and 710
- LCM of 692 and 711
- LCM of 692 and 712