What is the Least Common Multiple of 732 and 736?
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 732 and 736 is 134688.
LCM(732,736) = 134688
Least Common Multiple of 732 and 736 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 732 and 736, than apply into the LCM equation.
GCF(732,736) = 4
LCM(732,736) = ( 732 × 736) / 4
LCM(732,736) = 538752 / 4
LCM(732,736) = 134688
Least Common Multiple (LCM) of 732 and 736 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 736. First we will calculate the prime factors of 732 and 736.
Prime Factorization of 732
Prime factors of 732 are 2, 3, 61. Prime factorization of 732 in exponential form is:
732 = 22 × 31 × 611
Prime Factorization of 736
Prime factors of 736 are 2, 23. Prime factorization of 736 in exponential form is:
736 = 25 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 732 and 736.
LCM(732,736) = 25 × 31 × 611 × 231
LCM(732,736) = 134688
Related Least Common Multiples of 732
- LCM of 732 and 736
- LCM of 732 and 737
- LCM of 732 and 738
- LCM of 732 and 739
- LCM of 732 and 740
- LCM of 732 and 741
- LCM of 732 and 742
- LCM of 732 and 743
- LCM of 732 and 744
- LCM of 732 and 745
- LCM of 732 and 746
- LCM of 732 and 747
- LCM of 732 and 748
- LCM of 732 and 749
- LCM of 732 and 750
- LCM of 732 and 751
- LCM of 732 and 752
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