What is the Least Common Multiple of 969 and 989?
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 969 and 989 is 958341.
LCM(969,989) = 958341
Least Common Multiple of 969 and 989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 969 and 989, than apply into the LCM equation.
GCF(969,989) = 1
LCM(969,989) = ( 969 × 989) / 1
LCM(969,989) = 958341 / 1
LCM(969,989) = 958341
Least Common Multiple (LCM) of 969 and 989 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 969 and 989. First we will calculate the prime factors of 969 and 989.
Prime Factorization of 969
Prime factors of 969 are 3, 17, 19. Prime factorization of 969 in exponential form is:
969 = 31 × 171 × 191
Prime Factorization of 989
Prime factors of 989 are 23, 43. Prime factorization of 989 in exponential form is:
989 = 231 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 969 and 989.
LCM(969,989) = 31 × 171 × 191 × 231 × 431
LCM(969,989) = 958341
Related Least Common Multiples of 969
- LCM of 969 and 973
- LCM of 969 and 974
- LCM of 969 and 975
- LCM of 969 and 976
- LCM of 969 and 977
- LCM of 969 and 978
- LCM of 969 and 979
- LCM of 969 and 980
- LCM of 969 and 981
- LCM of 969 and 982
- LCM of 969 and 983
- LCM of 969 and 984
- LCM of 969 and 985
- LCM of 969 and 986
- LCM of 969 and 987
- LCM of 969 and 988
- LCM of 969 and 989
Related Least Common Multiples of 989
- LCM of 989 and 993
- LCM of 989 and 994
- LCM of 989 and 995
- LCM of 989 and 996
- LCM of 989 and 997
- LCM of 989 and 998
- LCM of 989 and 999
- LCM of 989 and 1000
- LCM of 989 and 1001
- LCM of 989 and 1002
- LCM of 989 and 1003
- LCM of 989 and 1004
- LCM of 989 and 1005
- LCM of 989 and 1006
- LCM of 989 and 1007
- LCM of 989 and 1008
- LCM of 989 and 1009