What is the Least Common Multiple of 1976 and 1988?
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 1976 and 1988 is 982072.
LCM(1976,1988) = 982072
Least Common Multiple of 1976 and 1988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1976 and 1988, than apply into the LCM equation.
GCF(1976,1988) = 4
LCM(1976,1988) = ( 1976 × 1988) / 4
LCM(1976,1988) = 3928288 / 4
LCM(1976,1988) = 982072
Least Common Multiple (LCM) of 1976 and 1988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1976 and 1988. First we will calculate the prime factors of 1976 and 1988.
Prime Factorization of 1976
Prime factors of 1976 are 2, 13, 19. Prime factorization of 1976 in exponential form is:
1976 = 23 × 131 × 191
Prime Factorization of 1988
Prime factors of 1988 are 2, 7, 71. Prime factorization of 1988 in exponential form is:
1988 = 22 × 71 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 1976 and 1988.
LCM(1976,1988) = 23 × 131 × 191 × 71 × 711
LCM(1976,1988) = 982072
Related Least Common Multiples of 1976
- LCM of 1976 and 1980
- LCM of 1976 and 1981
- LCM of 1976 and 1982
- LCM of 1976 and 1983
- LCM of 1976 and 1984
- LCM of 1976 and 1985
- LCM of 1976 and 1986
- LCM of 1976 and 1987
- LCM of 1976 and 1988
- LCM of 1976 and 1989
- LCM of 1976 and 1990
- LCM of 1976 and 1991
- LCM of 1976 and 1992
- LCM of 1976 and 1993
- LCM of 1976 and 1994
- LCM of 1976 and 1995
- LCM of 1976 and 1996
Related Least Common Multiples of 1988
- LCM of 1988 and 1992
- LCM of 1988 and 1993
- LCM of 1988 and 1994
- LCM of 1988 and 1995
- LCM of 1988 and 1996
- LCM of 1988 and 1997
- LCM of 1988 and 1998
- LCM of 1988 and 1999
- LCM of 1988 and 2000
- LCM of 1988 and 2001
- LCM of 1988 and 2002
- LCM of 1988 and 2003
- LCM of 1988 and 2004
- LCM of 1988 and 2005
- LCM of 1988 and 2006
- LCM of 1988 and 2007
- LCM of 1988 and 2008