What is the Least Common Multiple of 663 and 667?
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 663 and 667 is 442221.
LCM(663,667) = 442221
Least Common Multiple of 663 and 667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 663 and 667, than apply into the LCM equation.
GCF(663,667) = 1
LCM(663,667) = ( 663 × 667) / 1
LCM(663,667) = 442221 / 1
LCM(663,667) = 442221
Least Common Multiple (LCM) of 663 and 667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 667. First we will calculate the prime factors of 663 and 667.
Prime Factorization of 663
Prime factors of 663 are 3, 13, 17. Prime factorization of 663 in exponential form is:
663 = 31 × 131 × 171
Prime Factorization of 667
Prime factors of 667 are 23, 29. Prime factorization of 667 in exponential form is:
667 = 231 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 663 and 667.
LCM(663,667) = 31 × 131 × 171 × 231 × 291
LCM(663,667) = 442221
Related Least Common Multiples of 663
- LCM of 663 and 667
- LCM of 663 and 668
- LCM of 663 and 669
- LCM of 663 and 670
- LCM of 663 and 671
- LCM of 663 and 672
- LCM of 663 and 673
- LCM of 663 and 674
- LCM of 663 and 675
- LCM of 663 and 676
- LCM of 663 and 677
- LCM of 663 and 678
- LCM of 663 and 679
- LCM of 663 and 680
- LCM of 663 and 681
- LCM of 663 and 682
- LCM of 663 and 683
Related Least Common Multiples of 667
- LCM of 667 and 671
- LCM of 667 and 672
- LCM of 667 and 673
- LCM of 667 and 674
- LCM of 667 and 675
- LCM of 667 and 676
- LCM of 667 and 677
- LCM of 667 and 678
- LCM of 667 and 679
- LCM of 667 and 680
- LCM of 667 and 681
- LCM of 667 and 682
- LCM of 667 and 683
- LCM of 667 and 684
- LCM of 667 and 685
- LCM of 667 and 686
- LCM of 667 and 687