What is the Least Common Multiple of 730 and 746?
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 730 and 746 is 272290.
LCM(730,746) = 272290
Least Common Multiple of 730 and 746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 730 and 746, than apply into the LCM equation.
GCF(730,746) = 2
LCM(730,746) = ( 730 × 746) / 2
LCM(730,746) = 544580 / 2
LCM(730,746) = 272290
Least Common Multiple (LCM) of 730 and 746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 730 and 746. First we will calculate the prime factors of 730 and 746.
Prime Factorization of 730
Prime factors of 730 are 2, 5, 73. Prime factorization of 730 in exponential form is:
730 = 21 × 51 × 731
Prime Factorization of 746
Prime factors of 746 are 2, 373. Prime factorization of 746 in exponential form is:
746 = 21 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 730 and 746.
LCM(730,746) = 21 × 51 × 731 × 3731
LCM(730,746) = 272290
Related Least Common Multiples of 730
- LCM of 730 and 734
- LCM of 730 and 735
- LCM of 730 and 736
- LCM of 730 and 737
- LCM of 730 and 738
- LCM of 730 and 739
- LCM of 730 and 740
- LCM of 730 and 741
- LCM of 730 and 742
- LCM of 730 and 743
- LCM of 730 and 744
- LCM of 730 and 745
- LCM of 730 and 746
- LCM of 730 and 747
- LCM of 730 and 748
- LCM of 730 and 749
- LCM of 730 and 750
Related Least Common Multiples of 746
- LCM of 746 and 750
- LCM of 746 and 751
- LCM of 746 and 752
- LCM of 746 and 753
- LCM of 746 and 754
- LCM of 746 and 755
- LCM of 746 and 756
- LCM of 746 and 757
- LCM of 746 and 758
- LCM of 746 and 759
- LCM of 746 and 760
- LCM of 746 and 761
- LCM of 746 and 762
- LCM of 746 and 763
- LCM of 746 and 764
- LCM of 746 and 765
- LCM of 746 and 766