What is the Least Common Multiple of 759 and 778?
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 759 and 778 is 590502.
LCM(759,778) = 590502
Least Common Multiple of 759 and 778 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 759 and 778, than apply into the LCM equation.
GCF(759,778) = 1
LCM(759,778) = ( 759 × 778) / 1
LCM(759,778) = 590502 / 1
LCM(759,778) = 590502
Least Common Multiple (LCM) of 759 and 778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 778. First we will calculate the prime factors of 759 and 778.
Prime Factorization of 759
Prime factors of 759 are 3, 11, 23. Prime factorization of 759 in exponential form is:
759 = 31 × 111 × 231
Prime Factorization of 778
Prime factors of 778 are 2, 389. Prime factorization of 778 in exponential form is:
778 = 21 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 759 and 778.
LCM(759,778) = 31 × 111 × 231 × 21 × 3891
LCM(759,778) = 590502
Related Least Common Multiples of 759
- LCM of 759 and 763
- LCM of 759 and 764
- LCM of 759 and 765
- LCM of 759 and 766
- LCM of 759 and 767
- LCM of 759 and 768
- LCM of 759 and 769
- LCM of 759 and 770
- LCM of 759 and 771
- LCM of 759 and 772
- LCM of 759 and 773
- LCM of 759 and 774
- LCM of 759 and 775
- LCM of 759 and 776
- LCM of 759 and 777
- LCM of 759 and 778
- LCM of 759 and 779
Related Least Common Multiples of 778
- LCM of 778 and 782
- LCM of 778 and 783
- LCM of 778 and 784
- LCM of 778 and 785
- LCM of 778 and 786
- LCM of 778 and 787
- LCM of 778 and 788
- LCM of 778 and 789
- LCM of 778 and 790
- LCM of 778 and 791
- LCM of 778 and 792
- LCM of 778 and 793
- LCM of 778 and 794
- LCM of 778 and 795
- LCM of 778 and 796
- LCM of 778 and 797
- LCM of 778 and 798