What is the Least Common Multiple of 764 and 774?
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 764 and 774 is 295668.
LCM(764,774) = 295668
Least Common Multiple of 764 and 774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 764 and 774, than apply into the LCM equation.
GCF(764,774) = 2
LCM(764,774) = ( 764 × 774) / 2
LCM(764,774) = 591336 / 2
LCM(764,774) = 295668
Least Common Multiple (LCM) of 764 and 774 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 774. First we will calculate the prime factors of 764 and 774.
Prime Factorization of 764
Prime factors of 764 are 2, 191. Prime factorization of 764 in exponential form is:
764 = 22 × 1911
Prime Factorization of 774
Prime factors of 774 are 2, 3, 43. Prime factorization of 774 in exponential form is:
774 = 21 × 32 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 764 and 774.
LCM(764,774) = 22 × 1911 × 32 × 431
LCM(764,774) = 295668
Related Least Common Multiples of 764
- LCM of 764 and 768
- LCM of 764 and 769
- LCM of 764 and 770
- LCM of 764 and 771
- LCM of 764 and 772
- LCM of 764 and 773
- LCM of 764 and 774
- LCM of 764 and 775
- LCM of 764 and 776
- LCM of 764 and 777
- LCM of 764 and 778
- LCM of 764 and 779
- LCM of 764 and 780
- LCM of 764 and 781
- LCM of 764 and 782
- LCM of 764 and 783
- LCM of 764 and 784
Related Least Common Multiples of 774
- LCM of 774 and 778
- LCM of 774 and 779
- LCM of 774 and 780
- LCM of 774 and 781
- LCM of 774 and 782
- LCM of 774 and 783
- LCM of 774 and 784
- LCM of 774 and 785
- LCM of 774 and 786
- LCM of 774 and 787
- LCM of 774 and 788
- LCM of 774 and 789
- LCM of 774 and 790
- LCM of 774 and 791
- LCM of 774 and 792
- LCM of 774 and 793
- LCM of 774 and 794