What is the Least Common Multiple of 634 and 654?
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 634 and 654 is 207318.
LCM(634,654) = 207318
Least Common Multiple of 634 and 654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 634 and 654, than apply into the LCM equation.
GCF(634,654) = 2
LCM(634,654) = ( 634 × 654) / 2
LCM(634,654) = 414636 / 2
LCM(634,654) = 207318
Least Common Multiple (LCM) of 634 and 654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 654. First we will calculate the prime factors of 634 and 654.
Prime Factorization of 634
Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:
634 = 21 × 3171
Prime Factorization of 654
Prime factors of 654 are 2, 3, 109. Prime factorization of 654 in exponential form is:
654 = 21 × 31 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 634 and 654.
LCM(634,654) = 21 × 3171 × 31 × 1091
LCM(634,654) = 207318
Related Least Common Multiples of 634
- LCM of 634 and 638
- LCM of 634 and 639
- LCM of 634 and 640
- LCM of 634 and 641
- LCM of 634 and 642
- LCM of 634 and 643
- LCM of 634 and 644
- LCM of 634 and 645
- LCM of 634 and 646
- LCM of 634 and 647
- LCM of 634 and 648
- LCM of 634 and 649
- LCM of 634 and 650
- LCM of 634 and 651
- LCM of 634 and 652
- LCM of 634 and 653
- LCM of 634 and 654
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