What is the Least Common Multiple of 654 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 654 and 672 is 73248.
LCM(654,672) = 73248
Least Common Multiple of 654 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 654 and 672, than apply into the LCM equation.
GCF(654,672) = 6
LCM(654,672) = ( 654 × 672) / 6
LCM(654,672) = 439488 / 6
LCM(654,672) = 73248
Least Common Multiple (LCM) of 654 and 672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 672. First we will calculate the prime factors of 654 and 672.
Prime Factorization of 654
Prime factors of 654 are 2, 3, 109. Prime factorization of 654 in exponential form is:
654 = 21 × 31 × 1091
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 654 and 672.
LCM(654,672) = 25 × 31 × 1091 × 71
LCM(654,672) = 73248
Related Least Common Multiples of 654
- LCM of 654 and 658
- LCM of 654 and 659
- LCM of 654 and 660
- LCM of 654 and 661
- LCM of 654 and 662
- LCM of 654 and 663
- LCM of 654 and 664
- LCM of 654 and 665
- LCM of 654 and 666
- LCM of 654 and 667
- LCM of 654 and 668
- LCM of 654 and 669
- LCM of 654 and 670
- LCM of 654 and 671
- LCM of 654 and 672
- LCM of 654 and 673
- LCM of 654 and 674
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