What is the Least Common Multiple of 1002 and 1008?
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 1002 and 1008 is 168336.
LCM(1002,1008) = 168336
Least Common Multiple of 1002 and 1008 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1002 and 1008, than apply into the LCM equation.
GCF(1002,1008) = 6
LCM(1002,1008) = ( 1002 × 1008) / 6
LCM(1002,1008) = 1010016 / 6
LCM(1002,1008) = 168336
Least Common Multiple (LCM) of 1002 and 1008 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1002 and 1008. First we will calculate the prime factors of 1002 and 1008.
Prime Factorization of 1002
Prime factors of 1002 are 2, 3, 167. Prime factorization of 1002 in exponential form is:
1002 = 21 × 31 × 1671
Prime Factorization of 1008
Prime factors of 1008 are 2, 3, 7. Prime factorization of 1008 in exponential form is:
1008 = 24 × 32 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 1002 and 1008.
LCM(1002,1008) = 24 × 32 × 1671 × 71
LCM(1002,1008) = 168336
Related Least Common Multiples of 1002
- LCM of 1002 and 1006
- LCM of 1002 and 1007
- LCM of 1002 and 1008
- LCM of 1002 and 1009
- LCM of 1002 and 1010
- LCM of 1002 and 1011
- LCM of 1002 and 1012
- LCM of 1002 and 1013
- LCM of 1002 and 1014
- LCM of 1002 and 1015
- LCM of 1002 and 1016
- LCM of 1002 and 1017
- LCM of 1002 and 1018
- LCM of 1002 and 1019
- LCM of 1002 and 1020
- LCM of 1002 and 1021
- LCM of 1002 and 1022
Related Least Common Multiples of 1008
- LCM of 1008 and 1012
- LCM of 1008 and 1013
- LCM of 1008 and 1014
- LCM of 1008 and 1015
- LCM of 1008 and 1016
- LCM of 1008 and 1017
- LCM of 1008 and 1018
- LCM of 1008 and 1019
- LCM of 1008 and 1020
- LCM of 1008 and 1021
- LCM of 1008 and 1022
- LCM of 1008 and 1023
- LCM of 1008 and 1024
- LCM of 1008 and 1025
- LCM of 1008 and 1026
- LCM of 1008 and 1027
- LCM of 1008 and 1028