What is the Least Common Multiple of 738 and 757?
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 738 and 757 is 558666.
LCM(738,757) = 558666
Least Common Multiple of 738 and 757 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 738 and 757, than apply into the LCM equation.
GCF(738,757) = 1
LCM(738,757) = ( 738 × 757) / 1
LCM(738,757) = 558666 / 1
LCM(738,757) = 558666
Least Common Multiple (LCM) of 738 and 757 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 757. First we will calculate the prime factors of 738 and 757.
Prime Factorization of 738
Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:
738 = 21 × 32 × 411
Prime Factorization of 757
Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:
757 = 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 757.
LCM(738,757) = 21 × 32 × 411 × 7571
LCM(738,757) = 558666
Related Least Common Multiples of 738
- LCM of 738 and 742
- LCM of 738 and 743
- LCM of 738 and 744
- LCM of 738 and 745
- LCM of 738 and 746
- LCM of 738 and 747
- LCM of 738 and 748
- LCM of 738 and 749
- LCM of 738 and 750
- LCM of 738 and 751
- LCM of 738 and 752
- LCM of 738 and 753
- LCM of 738 and 754
- LCM of 738 and 755
- LCM of 738 and 756
- LCM of 738 and 757
- LCM of 738 and 758
Related Least Common Multiples of 757
- LCM of 757 and 761
- LCM of 757 and 762
- LCM of 757 and 763
- LCM of 757 and 764
- LCM of 757 and 765
- LCM of 757 and 766
- LCM of 757 and 767
- LCM of 757 and 768
- LCM of 757 and 769
- LCM of 757 and 770
- LCM of 757 and 771
- LCM of 757 and 772
- LCM of 757 and 773
- LCM of 757 and 774
- LCM of 757 and 775
- LCM of 757 and 776
- LCM of 757 and 777