What is the Least Common Multiple of 1985 and 2005?
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 1985 and 2005 is 795985.
LCM(1985,2005) = 795985
Least Common Multiple of 1985 and 2005 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1985 and 2005, than apply into the LCM equation.
GCF(1985,2005) = 5
LCM(1985,2005) = ( 1985 × 2005) / 5
LCM(1985,2005) = 3979925 / 5
LCM(1985,2005) = 795985
Least Common Multiple (LCM) of 1985 and 2005 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1985 and 2005. First we will calculate the prime factors of 1985 and 2005.
Prime Factorization of 1985
Prime factors of 1985 are 5, 397. Prime factorization of 1985 in exponential form is:
1985 = 51 × 3971
Prime Factorization of 2005
Prime factors of 2005 are 5, 401. Prime factorization of 2005 in exponential form is:
2005 = 51 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 1985 and 2005.
LCM(1985,2005) = 51 × 3971 × 4011
LCM(1985,2005) = 795985
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
Related Least Common Multiples of 2005
- LCM of 2005 and 2009
- LCM of 2005 and 2010
- LCM of 2005 and 2011
- LCM of 2005 and 2012
- LCM of 2005 and 2013
- LCM of 2005 and 2014
- LCM of 2005 and 2015
- LCM of 2005 and 2016
- LCM of 2005 and 2017
- LCM of 2005 and 2018
- LCM of 2005 and 2019
- LCM of 2005 and 2020
- LCM of 2005 and 2021
- LCM of 2005 and 2022
- LCM of 2005 and 2023
- LCM of 2005 and 2024
- LCM of 2005 and 2025