What is the Least Common Multiple of 65705 and 65720?
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 65705 and 65720 is 863626520.
LCM(65705,65720) = 863626520
Least Common Multiple of 65705 and 65720 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65705 and 65720, than apply into the LCM equation.
GCF(65705,65720) = 5
LCM(65705,65720) = ( 65705 × 65720) / 5
LCM(65705,65720) = 4318132600 / 5
LCM(65705,65720) = 863626520
Least Common Multiple (LCM) of 65705 and 65720 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65705 and 65720. First we will calculate the prime factors of 65705 and 65720.
Prime Factorization of 65705
Prime factors of 65705 are 5, 17, 773. Prime factorization of 65705 in exponential form is:
65705 = 51 × 171 × 7731
Prime Factorization of 65720
Prime factors of 65720 are 2, 5, 31, 53. Prime factorization of 65720 in exponential form is:
65720 = 23 × 51 × 311 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 65705 and 65720.
LCM(65705,65720) = 51 × 171 × 7731 × 23 × 311 × 531
LCM(65705,65720) = 863626520
Related Least Common Multiples of 65705
- LCM of 65705 and 65709
- LCM of 65705 and 65710
- LCM of 65705 and 65711
- LCM of 65705 and 65712
- LCM of 65705 and 65713
- LCM of 65705 and 65714
- LCM of 65705 and 65715
- LCM of 65705 and 65716
- LCM of 65705 and 65717
- LCM of 65705 and 65718
- LCM of 65705 and 65719
- LCM of 65705 and 65720
- LCM of 65705 and 65721
- LCM of 65705 and 65722
- LCM of 65705 and 65723
- LCM of 65705 and 65724
- LCM of 65705 and 65725
Related Least Common Multiples of 65720
- LCM of 65720 and 65724
- LCM of 65720 and 65725
- LCM of 65720 and 65726
- LCM of 65720 and 65727
- LCM of 65720 and 65728
- LCM of 65720 and 65729
- LCM of 65720 and 65730
- LCM of 65720 and 65731
- LCM of 65720 and 65732
- LCM of 65720 and 65733
- LCM of 65720 and 65734
- LCM of 65720 and 65735
- LCM of 65720 and 65736
- LCM of 65720 and 65737
- LCM of 65720 and 65738
- LCM of 65720 and 65739
- LCM of 65720 and 65740