What is the Least Common Multiple of 33965 and 33984?
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 33965 and 33984 is 1154266560.
LCM(33965,33984) = 1154266560
Least Common Multiple of 33965 and 33984 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33965 and 33984, than apply into the LCM equation.
GCF(33965,33984) = 1
LCM(33965,33984) = ( 33965 × 33984) / 1
LCM(33965,33984) = 1154266560 / 1
LCM(33965,33984) = 1154266560
Least Common Multiple (LCM) of 33965 and 33984 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33965 and 33984. First we will calculate the prime factors of 33965 and 33984.
Prime Factorization of 33965
Prime factors of 33965 are 5, 6793. Prime factorization of 33965 in exponential form is:
33965 = 51 × 67931
Prime Factorization of 33984
Prime factors of 33984 are 2, 3, 59. Prime factorization of 33984 in exponential form is:
33984 = 26 × 32 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 33965 and 33984.
LCM(33965,33984) = 51 × 67931 × 26 × 32 × 591
LCM(33965,33984) = 1154266560
Related Least Common Multiples of 33965
- LCM of 33965 and 33969
- LCM of 33965 and 33970
- LCM of 33965 and 33971
- LCM of 33965 and 33972
- LCM of 33965 and 33973
- LCM of 33965 and 33974
- LCM of 33965 and 33975
- LCM of 33965 and 33976
- LCM of 33965 and 33977
- LCM of 33965 and 33978
- LCM of 33965 and 33979
- LCM of 33965 and 33980
- LCM of 33965 and 33981
- LCM of 33965 and 33982
- LCM of 33965 and 33983
- LCM of 33965 and 33984
- LCM of 33965 and 33985
Related Least Common Multiples of 33984
- LCM of 33984 and 33988
- LCM of 33984 and 33989
- LCM of 33984 and 33990
- LCM of 33984 and 33991
- LCM of 33984 and 33992
- LCM of 33984 and 33993
- LCM of 33984 and 33994
- LCM of 33984 and 33995
- LCM of 33984 and 33996
- LCM of 33984 and 33997
- LCM of 33984 and 33998
- LCM of 33984 and 33999
- LCM of 33984 and 34000
- LCM of 33984 and 34001
- LCM of 33984 and 34002
- LCM of 33984 and 34003
- LCM of 33984 and 34004