What is the Least Common Multiple of 742 and 755?
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 742 and 755 is 560210.
LCM(742,755) = 560210
Least Common Multiple of 742 and 755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 742 and 755, than apply into the LCM equation.
GCF(742,755) = 1
LCM(742,755) = ( 742 × 755) / 1
LCM(742,755) = 560210 / 1
LCM(742,755) = 560210
Least Common Multiple (LCM) of 742 and 755 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 755. First we will calculate the prime factors of 742 and 755.
Prime Factorization of 742
Prime factors of 742 are 2, 7, 53. Prime factorization of 742 in exponential form is:
742 = 21 × 71 × 531
Prime Factorization of 755
Prime factors of 755 are 5, 151. Prime factorization of 755 in exponential form is:
755 = 51 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 742 and 755.
LCM(742,755) = 21 × 71 × 531 × 51 × 1511
LCM(742,755) = 560210
Related Least Common Multiples of 742
- LCM of 742 and 746
- LCM of 742 and 747
- LCM of 742 and 748
- LCM of 742 and 749
- LCM of 742 and 750
- LCM of 742 and 751
- LCM of 742 and 752
- LCM of 742 and 753
- LCM of 742 and 754
- LCM of 742 and 755
- LCM of 742 and 756
- LCM of 742 and 757
- LCM of 742 and 758
- LCM of 742 and 759
- LCM of 742 and 760
- LCM of 742 and 761
- LCM of 742 and 762
Related Least Common Multiples of 755
- LCM of 755 and 759
- LCM of 755 and 760
- LCM of 755 and 761
- LCM of 755 and 762
- LCM of 755 and 763
- LCM of 755 and 764
- LCM of 755 and 765
- LCM of 755 and 766
- LCM of 755 and 767
- LCM of 755 and 768
- LCM of 755 and 769
- LCM of 755 and 770
- LCM of 755 and 771
- LCM of 755 and 772
- LCM of 755 and 773
- LCM of 755 and 774
- LCM of 755 and 775