What is the Least Common Multiple of 662 and 672?
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 672 is 222432.
LCM(662,672) = 222432
Least Common Multiple of 662 and 672 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 672, than apply into the LCM equation.
GCF(662,672) = 2
LCM(662,672) = ( 662 × 672) / 2
LCM(662,672) = 444864 / 2
LCM(662,672) = 222432
Least Common Multiple (LCM) of 662 and 672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 672. First we will calculate the prime factors of 662 and 672.
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 672
Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:
672 = 25 × 31 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 662 and 672.
LCM(662,672) = 25 × 3311 × 31 × 71
LCM(662,672) = 222432
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 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