What is the Least Common Multiple of 31920 and 31928?
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 31920 and 31928 is 127392720.
LCM(31920,31928) = 127392720
Least Common Multiple of 31920 and 31928 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31920 and 31928, than apply into the LCM equation.
GCF(31920,31928) = 8
LCM(31920,31928) = ( 31920 × 31928) / 8
LCM(31920,31928) = 1019141760 / 8
LCM(31920,31928) = 127392720
Least Common Multiple (LCM) of 31920 and 31928 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31920 and 31928. First we will calculate the prime factors of 31920 and 31928.
Prime Factorization of 31920
Prime factors of 31920 are 2, 3, 5, 7, 19. Prime factorization of 31920 in exponential form is:
31920 = 24 × 31 × 51 × 71 × 191
Prime Factorization of 31928
Prime factors of 31928 are 2, 13, 307. Prime factorization of 31928 in exponential form is:
31928 = 23 × 131 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 31920 and 31928.
LCM(31920,31928) = 24 × 31 × 51 × 71 × 191 × 131 × 3071
LCM(31920,31928) = 127392720
Related Least Common Multiples of 31920
- LCM of 31920 and 31924
- LCM of 31920 and 31925
- LCM of 31920 and 31926
- LCM of 31920 and 31927
- LCM of 31920 and 31928
- LCM of 31920 and 31929
- LCM of 31920 and 31930
- LCM of 31920 and 31931
- LCM of 31920 and 31932
- LCM of 31920 and 31933
- LCM of 31920 and 31934
- LCM of 31920 and 31935
- LCM of 31920 and 31936
- LCM of 31920 and 31937
- LCM of 31920 and 31938
- LCM of 31920 and 31939
- LCM of 31920 and 31940
Related Least Common Multiples of 31928
- LCM of 31928 and 31932
- LCM of 31928 and 31933
- LCM of 31928 and 31934
- LCM of 31928 and 31935
- LCM of 31928 and 31936
- LCM of 31928 and 31937
- LCM of 31928 and 31938
- LCM of 31928 and 31939
- LCM of 31928 and 31940
- LCM of 31928 and 31941
- LCM of 31928 and 31942
- LCM of 31928 and 31943
- LCM of 31928 and 31944
- LCM of 31928 and 31945
- LCM of 31928 and 31946
- LCM of 31928 and 31947
- LCM of 31928 and 31948