What is the Least Common Multiple of 666 and 676?
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 666 and 676 is 225108.
LCM(666,676) = 225108
Least Common Multiple of 666 and 676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 666 and 676, than apply into the LCM equation.
GCF(666,676) = 2
LCM(666,676) = ( 666 × 676) / 2
LCM(666,676) = 450216 / 2
LCM(666,676) = 225108
Least Common Multiple (LCM) of 666 and 676 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 666 and 676. First we will calculate the prime factors of 666 and 676.
Prime Factorization of 666
Prime factors of 666 are 2, 3, 37. Prime factorization of 666 in exponential form is:
666 = 21 × 32 × 371
Prime Factorization of 676
Prime factors of 676 are 2, 13. Prime factorization of 676 in exponential form is:
676 = 22 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 666 and 676.
LCM(666,676) = 22 × 32 × 371 × 132
LCM(666,676) = 225108
Related Least Common Multiples of 666
- LCM of 666 and 670
- LCM of 666 and 671
- LCM of 666 and 672
- LCM of 666 and 673
- LCM of 666 and 674
- LCM of 666 and 675
- LCM of 666 and 676
- LCM of 666 and 677
- LCM of 666 and 678
- LCM of 666 and 679
- LCM of 666 and 680
- LCM of 666 and 681
- LCM of 666 and 682
- LCM of 666 and 683
- LCM of 666 and 684
- LCM of 666 and 685
- LCM of 666 and 686
Related Least Common Multiples of 676
- LCM of 676 and 680
- LCM of 676 and 681
- LCM of 676 and 682
- LCM of 676 and 683
- LCM of 676 and 684
- LCM of 676 and 685
- LCM of 676 and 686
- LCM of 676 and 687
- LCM of 676 and 688
- LCM of 676 and 689
- LCM of 676 and 690
- LCM of 676 and 691
- LCM of 676 and 692
- LCM of 676 and 693
- LCM of 676 and 694
- LCM of 676 and 695
- LCM of 676 and 696