What is the Least Common Multiple of 662 and 678?
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 662 and 678 is 224418.
LCM(662,678) = 224418
Least Common Multiple of 662 and 678 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 662 and 678, than apply into the LCM equation.
GCF(662,678) = 2
LCM(662,678) = ( 662 × 678) / 2
LCM(662,678) = 448836 / 2
LCM(662,678) = 224418
Least Common Multiple (LCM) of 662 and 678 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 678. First we will calculate the prime factors of 662 and 678.
Prime Factorization of 662
Prime factors of 662 are 2, 331. Prime factorization of 662 in exponential form is:
662 = 21 × 3311
Prime Factorization of 678
Prime factors of 678 are 2, 3, 113. Prime factorization of 678 in exponential form is:
678 = 21 × 31 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 662 and 678.
LCM(662,678) = 21 × 3311 × 31 × 1131
LCM(662,678) = 224418
Related Least Common Multiples of 662
- LCM of 662 and 666
- LCM of 662 and 667
- LCM of 662 and 668
- LCM of 662 and 669
- LCM of 662 and 670
- LCM of 662 and 671
- LCM of 662 and 672
- LCM of 662 and 673
- LCM of 662 and 674
- LCM of 662 and 675
- LCM of 662 and 676
- LCM of 662 and 677
- LCM of 662 and 678
- LCM of 662 and 679
- LCM of 662 and 680
- LCM of 662 and 681
- LCM of 662 and 682
Related Least Common Multiples of 678
- LCM of 678 and 682
- LCM of 678 and 683
- LCM of 678 and 684
- LCM of 678 and 685
- LCM of 678 and 686
- LCM of 678 and 687
- LCM of 678 and 688
- LCM of 678 and 689
- LCM of 678 and 690
- LCM of 678 and 691
- LCM of 678 and 692
- LCM of 678 and 693
- LCM of 678 and 694
- LCM of 678 and 695
- LCM of 678 and 696
- LCM of 678 and 697
- LCM of 678 and 698