What is the Least Common Multiple of 21024 and 21029?
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 21024 and 21029 is 442113696.
LCM(21024,21029) = 442113696
Least Common Multiple of 21024 and 21029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21024 and 21029, than apply into the LCM equation.
GCF(21024,21029) = 1
LCM(21024,21029) = ( 21024 × 21029) / 1
LCM(21024,21029) = 442113696 / 1
LCM(21024,21029) = 442113696
Least Common Multiple (LCM) of 21024 and 21029 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21024 and 21029. First we will calculate the prime factors of 21024 and 21029.
Prime Factorization of 21024
Prime factors of 21024 are 2, 3, 73. Prime factorization of 21024 in exponential form is:
21024 = 25 × 32 × 731
Prime Factorization of 21029
Prime factors of 21029 are 17, 1237. Prime factorization of 21029 in exponential form is:
21029 = 171 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 21024 and 21029.
LCM(21024,21029) = 25 × 32 × 731 × 171 × 12371
LCM(21024,21029) = 442113696
Related Least Common Multiples of 21024
- LCM of 21024 and 21028
- LCM of 21024 and 21029
- LCM of 21024 and 21030
- LCM of 21024 and 21031
- LCM of 21024 and 21032
- LCM of 21024 and 21033
- LCM of 21024 and 21034
- LCM of 21024 and 21035
- LCM of 21024 and 21036
- LCM of 21024 and 21037
- LCM of 21024 and 21038
- LCM of 21024 and 21039
- LCM of 21024 and 21040
- LCM of 21024 and 21041
- LCM of 21024 and 21042
- LCM of 21024 and 21043
- LCM of 21024 and 21044
Related Least Common Multiples of 21029
- LCM of 21029 and 21033
- LCM of 21029 and 21034
- LCM of 21029 and 21035
- LCM of 21029 and 21036
- LCM of 21029 and 21037
- LCM of 21029 and 21038
- LCM of 21029 and 21039
- LCM of 21029 and 21040
- LCM of 21029 and 21041
- LCM of 21029 and 21042
- LCM of 21029 and 21043
- LCM of 21029 and 21044
- LCM of 21029 and 21045
- LCM of 21029 and 21046
- LCM of 21029 and 21047
- LCM of 21029 and 21048
- LCM of 21029 and 21049