What is the Least Common Multiple of 981 and 988?
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 981 and 988 is 969228.
LCM(981,988) = 969228
Least Common Multiple of 981 and 988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 981 and 988, than apply into the LCM equation.
GCF(981,988) = 1
LCM(981,988) = ( 981 × 988) / 1
LCM(981,988) = 969228 / 1
LCM(981,988) = 969228
Least Common Multiple (LCM) of 981 and 988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 981 and 988. First we will calculate the prime factors of 981 and 988.
Prime Factorization of 981
Prime factors of 981 are 3, 109. Prime factorization of 981 in exponential form is:
981 = 32 × 1091
Prime Factorization of 988
Prime factors of 988 are 2, 13, 19. Prime factorization of 988 in exponential form is:
988 = 22 × 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 981 and 988.
LCM(981,988) = 32 × 1091 × 22 × 131 × 191
LCM(981,988) = 969228
Related Least Common Multiples of 981
- LCM of 981 and 985
- LCM of 981 and 986
- LCM of 981 and 987
- LCM of 981 and 988
- LCM of 981 and 989
- LCM of 981 and 990
- LCM of 981 and 991
- LCM of 981 and 992
- LCM of 981 and 993
- LCM of 981 and 994
- LCM of 981 and 995
- LCM of 981 and 996
- LCM of 981 and 997
- LCM of 981 and 998
- LCM of 981 and 999
- LCM of 981 and 1000
- LCM of 981 and 1001
Related Least Common Multiples of 988
- LCM of 988 and 992
- LCM of 988 and 993
- LCM of 988 and 994
- LCM of 988 and 995
- LCM of 988 and 996
- LCM of 988 and 997
- LCM of 988 and 998
- LCM of 988 and 999
- LCM of 988 and 1000
- LCM of 988 and 1001
- LCM of 988 and 1002
- LCM of 988 and 1003
- LCM of 988 and 1004
- LCM of 988 and 1005
- LCM of 988 and 1006
- LCM of 988 and 1007
- LCM of 988 and 1008