What is the Least Common Multiple of 736 and 749?
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 736 and 749 is 551264.
LCM(736,749) = 551264
Least Common Multiple of 736 and 749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 736 and 749, than apply into the LCM equation.
GCF(736,749) = 1
LCM(736,749) = ( 736 × 749) / 1
LCM(736,749) = 551264 / 1
LCM(736,749) = 551264
Least Common Multiple (LCM) of 736 and 749 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 749. First we will calculate the prime factors of 736 and 749.
Prime Factorization of 736
Prime factors of 736 are 2, 23. Prime factorization of 736 in exponential form is:
736 = 25 × 231
Prime Factorization of 749
Prime factors of 749 are 7, 107. Prime factorization of 749 in exponential form is:
749 = 71 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 736 and 749.
LCM(736,749) = 25 × 231 × 71 × 1071
LCM(736,749) = 551264
Related Least Common Multiples of 736
- LCM of 736 and 740
- LCM of 736 and 741
- LCM of 736 and 742
- LCM of 736 and 743
- LCM of 736 and 744
- LCM of 736 and 745
- LCM of 736 and 746
- LCM of 736 and 747
- LCM of 736 and 748
- LCM of 736 and 749
- LCM of 736 and 750
- LCM of 736 and 751
- LCM of 736 and 752
- LCM of 736 and 753
- LCM of 736 and 754
- LCM of 736 and 755
- LCM of 736 and 756
Related Least Common Multiples of 749
- LCM of 749 and 753
- LCM of 749 and 754
- LCM of 749 and 755
- LCM of 749 and 756
- LCM of 749 and 757
- LCM of 749 and 758
- LCM of 749 and 759
- LCM of 749 and 760
- LCM of 749 and 761
- LCM of 749 and 762
- LCM of 749 and 763
- LCM of 749 and 764
- LCM of 749 and 765
- LCM of 749 and 766
- LCM of 749 and 767
- LCM of 749 and 768
- LCM of 749 and 769