What is the Least Common Multiple of 730 and 740?
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 740 is 54020.
LCM(730,740) = 54020
Least Common Multiple of 730 and 740 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 740, than apply into the LCM equation.
GCF(730,740) = 10
LCM(730,740) = ( 730 × 740) / 10
LCM(730,740) = 540200 / 10
LCM(730,740) = 54020
Least Common Multiple (LCM) of 730 and 740 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 730 and 740. First we will calculate the prime factors of 730 and 740.
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 740
Prime factors of 740 are 2, 5, 37. Prime factorization of 740 in exponential form is:
740 = 22 × 51 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 730 and 740.
LCM(730,740) = 22 × 51 × 731 × 371
LCM(730,740) = 54020
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 740
- LCM of 740 and 744
- LCM of 740 and 745
- LCM of 740 and 746
- LCM of 740 and 747
- LCM of 740 and 748
- LCM of 740 and 749
- LCM of 740 and 750
- LCM of 740 and 751
- LCM of 740 and 752
- LCM of 740 and 753
- LCM of 740 and 754
- LCM of 740 and 755
- LCM of 740 and 756
- LCM of 740 and 757
- LCM of 740 and 758
- LCM of 740 and 759
- LCM of 740 and 760