What is the Least Common Multiple of 772 and 785?
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 772 and 785 is 606020.
LCM(772,785) = 606020
Least Common Multiple of 772 and 785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 772 and 785, than apply into the LCM equation.
GCF(772,785) = 1
LCM(772,785) = ( 772 × 785) / 1
LCM(772,785) = 606020 / 1
LCM(772,785) = 606020
Least Common Multiple (LCM) of 772 and 785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 785. First we will calculate the prime factors of 772 and 785.
Prime Factorization of 772
Prime factors of 772 are 2, 193. Prime factorization of 772 in exponential form is:
772 = 22 × 1931
Prime Factorization of 785
Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:
785 = 51 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 772 and 785.
LCM(772,785) = 22 × 1931 × 51 × 1571
LCM(772,785) = 606020
Related Least Common Multiples of 772
- LCM of 772 and 776
- LCM of 772 and 777
- LCM of 772 and 778
- LCM of 772 and 779
- LCM of 772 and 780
- LCM of 772 and 781
- LCM of 772 and 782
- LCM of 772 and 783
- LCM of 772 and 784
- LCM of 772 and 785
- LCM of 772 and 786
- LCM of 772 and 787
- LCM of 772 and 788
- LCM of 772 and 789
- LCM of 772 and 790
- LCM of 772 and 791
- LCM of 772 and 792
Related Least Common Multiples of 785
- LCM of 785 and 789
- LCM of 785 and 790
- LCM of 785 and 791
- LCM of 785 and 792
- LCM of 785 and 793
- LCM of 785 and 794
- LCM of 785 and 795
- LCM of 785 and 796
- LCM of 785 and 797
- LCM of 785 and 798
- LCM of 785 and 799
- LCM of 785 and 800
- LCM of 785 and 801
- LCM of 785 and 802
- LCM of 785 and 803
- LCM of 785 and 804
- LCM of 785 and 805