What is the Least Common Multiple of 992 and 1004?
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 992 and 1004 is 248992.
LCM(992,1004) = 248992
Least Common Multiple of 992 and 1004 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 992 and 1004, than apply into the LCM equation.
GCF(992,1004) = 4
LCM(992,1004) = ( 992 × 1004) / 4
LCM(992,1004) = 995968 / 4
LCM(992,1004) = 248992
Least Common Multiple (LCM) of 992 and 1004 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 992 and 1004. First we will calculate the prime factors of 992 and 1004.
Prime Factorization of 992
Prime factors of 992 are 2, 31. Prime factorization of 992 in exponential form is:
992 = 25 × 311
Prime Factorization of 1004
Prime factors of 1004 are 2, 251. Prime factorization of 1004 in exponential form is:
1004 = 22 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 992 and 1004.
LCM(992,1004) = 25 × 311 × 2511
LCM(992,1004) = 248992
Related Least Common Multiples of 992
- LCM of 992 and 996
- LCM of 992 and 997
- LCM of 992 and 998
- LCM of 992 and 999
- LCM of 992 and 1000
- LCM of 992 and 1001
- LCM of 992 and 1002
- LCM of 992 and 1003
- LCM of 992 and 1004
- LCM of 992 and 1005
- LCM of 992 and 1006
- LCM of 992 and 1007
- LCM of 992 and 1008
- LCM of 992 and 1009
- LCM of 992 and 1010
- LCM of 992 and 1011
- LCM of 992 and 1012
Related Least Common Multiples of 1004
- LCM of 1004 and 1008
- LCM of 1004 and 1009
- LCM of 1004 and 1010
- LCM of 1004 and 1011
- LCM of 1004 and 1012
- LCM of 1004 and 1013
- LCM of 1004 and 1014
- LCM of 1004 and 1015
- LCM of 1004 and 1016
- LCM of 1004 and 1017
- LCM of 1004 and 1018
- LCM of 1004 and 1019
- LCM of 1004 and 1020
- LCM of 1004 and 1021
- LCM of 1004 and 1022
- LCM of 1004 and 1023
- LCM of 1004 and 1024