What is the Least Common Multiple of 1981 and 1985?
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 1981 and 1985 is 3932285.
LCM(1981,1985) = 3932285
Least Common Multiple of 1981 and 1985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1981 and 1985, than apply into the LCM equation.
GCF(1981,1985) = 1
LCM(1981,1985) = ( 1981 × 1985) / 1
LCM(1981,1985) = 3932285 / 1
LCM(1981,1985) = 3932285
Least Common Multiple (LCM) of 1981 and 1985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1981 and 1985. First we will calculate the prime factors of 1981 and 1985.
Prime Factorization of 1981
Prime factors of 1981 are 7, 283. Prime factorization of 1981 in exponential form is:
1981 = 71 × 2831
Prime Factorization of 1985
Prime factors of 1985 are 5, 397. Prime factorization of 1985 in exponential form is:
1985 = 51 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 1981 and 1985.
LCM(1981,1985) = 71 × 2831 × 51 × 3971
LCM(1981,1985) = 3932285
Related Least Common Multiples of 1981
- LCM of 1981 and 1985
- LCM of 1981 and 1986
- LCM of 1981 and 1987
- LCM of 1981 and 1988
- LCM of 1981 and 1989
- LCM of 1981 and 1990
- LCM of 1981 and 1991
- LCM of 1981 and 1992
- LCM of 1981 and 1993
- LCM of 1981 and 1994
- LCM of 1981 and 1995
- LCM of 1981 and 1996
- LCM of 1981 and 1997
- LCM of 1981 and 1998
- LCM of 1981 and 1999
- LCM of 1981 and 2000
- LCM of 1981 and 2001
Related Least Common Multiples of 1985
- LCM of 1985 and 1989
- LCM of 1985 and 1990
- LCM of 1985 and 1991
- LCM of 1985 and 1992
- LCM of 1985 and 1993
- LCM of 1985 and 1994
- LCM of 1985 and 1995
- LCM of 1985 and 1996
- LCM of 1985 and 1997
- LCM of 1985 and 1998
- LCM of 1985 and 1999
- LCM of 1985 and 2000
- LCM of 1985 and 2001
- LCM of 1985 and 2002
- LCM of 1985 and 2003
- LCM of 1985 and 2004
- LCM of 1985 and 2005