What is the Least Common Multiple of 2760 and 2767?
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 2760 and 2767 is 7636920.
LCM(2760,2767) = 7636920
Least Common Multiple of 2760 and 2767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2760 and 2767, than apply into the LCM equation.
GCF(2760,2767) = 1
LCM(2760,2767) = ( 2760 × 2767) / 1
LCM(2760,2767) = 7636920 / 1
LCM(2760,2767) = 7636920
Least Common Multiple (LCM) of 2760 and 2767 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2760 and 2767. First we will calculate the prime factors of 2760 and 2767.
Prime Factorization of 2760
Prime factors of 2760 are 2, 3, 5, 23. Prime factorization of 2760 in exponential form is:
2760 = 23 × 31 × 51 × 231
Prime Factorization of 2767
Prime factors of 2767 are 2767. Prime factorization of 2767 in exponential form is:
2767 = 27671
Now multiplying the highest exponent prime factors to calculate the LCM of 2760 and 2767.
LCM(2760,2767) = 23 × 31 × 51 × 231 × 27671
LCM(2760,2767) = 7636920
Related Least Common Multiples of 2760
- LCM of 2760 and 2764
- LCM of 2760 and 2765
- LCM of 2760 and 2766
- LCM of 2760 and 2767
- LCM of 2760 and 2768
- LCM of 2760 and 2769
- LCM of 2760 and 2770
- LCM of 2760 and 2771
- LCM of 2760 and 2772
- LCM of 2760 and 2773
- LCM of 2760 and 2774
- LCM of 2760 and 2775
- LCM of 2760 and 2776
- LCM of 2760 and 2777
- LCM of 2760 and 2778
- LCM of 2760 and 2779
- LCM of 2760 and 2780
Related Least Common Multiples of 2767
- LCM of 2767 and 2771
- LCM of 2767 and 2772
- LCM of 2767 and 2773
- LCM of 2767 and 2774
- LCM of 2767 and 2775
- LCM of 2767 and 2776
- LCM of 2767 and 2777
- LCM of 2767 and 2778
- LCM of 2767 and 2779
- LCM of 2767 and 2780
- LCM of 2767 and 2781
- LCM of 2767 and 2782
- LCM of 2767 and 2783
- LCM of 2767 and 2784
- LCM of 2767 and 2785
- LCM of 2767 and 2786
- LCM of 2767 and 2787