What is the Least Common Multiple of 756 and 769?
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 756 and 769 is 581364.
LCM(756,769) = 581364
Least Common Multiple of 756 and 769 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 756 and 769, than apply into the LCM equation.
GCF(756,769) = 1
LCM(756,769) = ( 756 × 769) / 1
LCM(756,769) = 581364 / 1
LCM(756,769) = 581364
Least Common Multiple (LCM) of 756 and 769 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 769. First we will calculate the prime factors of 756 and 769.
Prime Factorization of 756
Prime factors of 756 are 2, 3, 7. Prime factorization of 756 in exponential form is:
756 = 22 × 33 × 71
Prime Factorization of 769
Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:
769 = 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 769.
LCM(756,769) = 22 × 33 × 71 × 7691
LCM(756,769) = 581364
Related Least Common Multiples of 756
- LCM of 756 and 760
- LCM of 756 and 761
- LCM of 756 and 762
- LCM of 756 and 763
- LCM of 756 and 764
- LCM of 756 and 765
- LCM of 756 and 766
- LCM of 756 and 767
- LCM of 756 and 768
- LCM of 756 and 769
- LCM of 756 and 770
- LCM of 756 and 771
- LCM of 756 and 772
- LCM of 756 and 773
- LCM of 756 and 774
- LCM of 756 and 775
- LCM of 756 and 776
Related Least Common Multiples of 769
- LCM of 769 and 773
- LCM of 769 and 774
- LCM of 769 and 775
- LCM of 769 and 776
- LCM of 769 and 777
- LCM of 769 and 778
- LCM of 769 and 779
- LCM of 769 and 780
- LCM of 769 and 781
- LCM of 769 and 782
- LCM of 769 and 783
- LCM of 769 and 784
- LCM of 769 and 785
- LCM of 769 and 786
- LCM of 769 and 787
- LCM of 769 and 788
- LCM of 769 and 789