What is the Least Common Multiple of 46705 and 46715?
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 46705 and 46715 is 436364815.
LCM(46705,46715) = 436364815
Least Common Multiple of 46705 and 46715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46705 and 46715, than apply into the LCM equation.
GCF(46705,46715) = 5
LCM(46705,46715) = ( 46705 × 46715) / 5
LCM(46705,46715) = 2181824075 / 5
LCM(46705,46715) = 436364815
Least Common Multiple (LCM) of 46705 and 46715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46705 and 46715. First we will calculate the prime factors of 46705 and 46715.
Prime Factorization of 46705
Prime factors of 46705 are 5, 9341. Prime factorization of 46705 in exponential form is:
46705 = 51 × 93411
Prime Factorization of 46715
Prime factors of 46715 are 5, 9343. Prime factorization of 46715 in exponential form is:
46715 = 51 × 93431
Now multiplying the highest exponent prime factors to calculate the LCM of 46705 and 46715.
LCM(46705,46715) = 51 × 93411 × 93431
LCM(46705,46715) = 436364815
Related Least Common Multiples of 46705
- LCM of 46705 and 46709
- LCM of 46705 and 46710
- LCM of 46705 and 46711
- LCM of 46705 and 46712
- LCM of 46705 and 46713
- LCM of 46705 and 46714
- LCM of 46705 and 46715
- LCM of 46705 and 46716
- LCM of 46705 and 46717
- LCM of 46705 and 46718
- LCM of 46705 and 46719
- LCM of 46705 and 46720
- LCM of 46705 and 46721
- LCM of 46705 and 46722
- LCM of 46705 and 46723
- LCM of 46705 and 46724
- LCM of 46705 and 46725
Related Least Common Multiples of 46715
- LCM of 46715 and 46719
- LCM of 46715 and 46720
- LCM of 46715 and 46721
- LCM of 46715 and 46722
- LCM of 46715 and 46723
- LCM of 46715 and 46724
- LCM of 46715 and 46725
- LCM of 46715 and 46726
- LCM of 46715 and 46727
- LCM of 46715 and 46728
- LCM of 46715 and 46729
- LCM of 46715 and 46730
- LCM of 46715 and 46731
- LCM of 46715 and 46732
- LCM of 46715 and 46733
- LCM of 46715 and 46734
- LCM of 46715 and 46735