What is the Least Common Multiple of 669 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 669 and 675 is 150525.
LCM(669,675) = 150525
Least Common Multiple of 669 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 669 and 675, than apply into the LCM equation.
GCF(669,675) = 3
LCM(669,675) = ( 669 × 675) / 3
LCM(669,675) = 451575 / 3
LCM(669,675) = 150525
Least Common Multiple (LCM) of 669 and 675 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 669 and 675. First we will calculate the prime factors of 669 and 675.
Prime Factorization of 669
Prime factors of 669 are 3, 223. Prime factorization of 669 in exponential form is:
669 = 31 × 2231
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 669 and 675.
LCM(669,675) = 33 × 2231 × 52
LCM(669,675) = 150525
Related Least Common Multiples of 669
- LCM of 669 and 673
- LCM of 669 and 674
- LCM of 669 and 675
- LCM of 669 and 676
- LCM of 669 and 677
- LCM of 669 and 678
- LCM of 669 and 679
- LCM of 669 and 680
- LCM of 669 and 681
- LCM of 669 and 682
- LCM of 669 and 683
- LCM of 669 and 684
- LCM of 669 and 685
- LCM of 669 and 686
- LCM of 669 and 687
- LCM of 669 and 688
- LCM of 669 and 689
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