What is the Least Common Multiple of 672 and 687?
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 672 and 687 is 153888.
LCM(672,687) = 153888
Least Common Multiple of 672 and 687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 672 and 687, than apply into the LCM equation.
GCF(672,687) = 3
LCM(672,687) = ( 672 × 687) / 3
LCM(672,687) = 461664 / 3
LCM(672,687) = 153888
Least Common Multiple (LCM) of 672 and 687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 672 and 687. First we will calculate the prime factors of 672 and 687.
Prime Factorization of 672
Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:
672 = 25 × 31 × 71
Prime Factorization of 687
Prime factors of 687 are 3, 229. Prime factorization of 687 in exponential form is:
687 = 31 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 672 and 687.
LCM(672,687) = 25 × 31 × 71 × 2291
LCM(672,687) = 153888
Related Least Common Multiples of 672
- LCM of 672 and 676
- LCM of 672 and 677
- LCM of 672 and 678
- LCM of 672 and 679
- LCM of 672 and 680
- LCM of 672 and 681
- LCM of 672 and 682
- LCM of 672 and 683
- LCM of 672 and 684
- LCM of 672 and 685
- LCM of 672 and 686
- LCM of 672 and 687
- LCM of 672 and 688
- LCM of 672 and 689
- LCM of 672 and 690
- LCM of 672 and 691
- LCM of 672 and 692
Related Least Common Multiples of 687
- LCM of 687 and 691
- LCM of 687 and 692
- LCM of 687 and 693
- LCM of 687 and 694
- LCM of 687 and 695
- LCM of 687 and 696
- LCM of 687 and 697
- LCM of 687 and 698
- LCM of 687 and 699
- LCM of 687 and 700
- LCM of 687 and 701
- LCM of 687 and 702
- LCM of 687 and 703
- LCM of 687 and 704
- LCM of 687 and 705
- LCM of 687 and 706
- LCM of 687 and 707