What is the Least Common Multiple of 675 and 695?
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 695 is 93825.
LCM(675,695) = 93825
Least Common Multiple of 675 and 695 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 695, than apply into the LCM equation.
GCF(675,695) = 5
LCM(675,695) = ( 675 × 695) / 5
LCM(675,695) = 469125 / 5
LCM(675,695) = 93825
Least Common Multiple (LCM) of 675 and 695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 695. First we will calculate the prime factors of 675 and 695.
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 695
Prime factors of 695 are 5, 139. Prime factorization of 695 in exponential form is:
695 = 51 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 675 and 695.
LCM(675,695) = 33 × 52 × 1391
LCM(675,695) = 93825
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 695
- LCM of 695 and 699
- LCM of 695 and 700
- LCM of 695 and 701
- LCM of 695 and 702
- LCM of 695 and 703
- LCM of 695 and 704
- LCM of 695 and 705
- LCM of 695 and 706
- LCM of 695 and 707
- LCM of 695 and 708
- LCM of 695 and 709
- LCM of 695 and 710
- LCM of 695 and 711
- LCM of 695 and 712
- LCM of 695 and 713
- LCM of 695 and 714
- LCM of 695 and 715