What is the Least Common Multiple of 20712 and 20731?
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 20712 and 20731 is 429380472.
LCM(20712,20731) = 429380472
Least Common Multiple of 20712 and 20731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20712 and 20731, than apply into the LCM equation.
GCF(20712,20731) = 1
LCM(20712,20731) = ( 20712 × 20731) / 1
LCM(20712,20731) = 429380472 / 1
LCM(20712,20731) = 429380472
Least Common Multiple (LCM) of 20712 and 20731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20712 and 20731. First we will calculate the prime factors of 20712 and 20731.
Prime Factorization of 20712
Prime factors of 20712 are 2, 3, 863. Prime factorization of 20712 in exponential form is:
20712 = 23 × 31 × 8631
Prime Factorization of 20731
Prime factors of 20731 are 20731. Prime factorization of 20731 in exponential form is:
20731 = 207311
Now multiplying the highest exponent prime factors to calculate the LCM of 20712 and 20731.
LCM(20712,20731) = 23 × 31 × 8631 × 207311
LCM(20712,20731) = 429380472
Related Least Common Multiples of 20712
- LCM of 20712 and 20716
- LCM of 20712 and 20717
- LCM of 20712 and 20718
- LCM of 20712 and 20719
- LCM of 20712 and 20720
- LCM of 20712 and 20721
- LCM of 20712 and 20722
- LCM of 20712 and 20723
- LCM of 20712 and 20724
- LCM of 20712 and 20725
- LCM of 20712 and 20726
- LCM of 20712 and 20727
- LCM of 20712 and 20728
- LCM of 20712 and 20729
- LCM of 20712 and 20730
- LCM of 20712 and 20731
- LCM of 20712 and 20732
Related Least Common Multiples of 20731
- LCM of 20731 and 20735
- LCM of 20731 and 20736
- LCM of 20731 and 20737
- LCM of 20731 and 20738
- LCM of 20731 and 20739
- LCM of 20731 and 20740
- LCM of 20731 and 20741
- LCM of 20731 and 20742
- LCM of 20731 and 20743
- LCM of 20731 and 20744
- LCM of 20731 and 20745
- LCM of 20731 and 20746
- LCM of 20731 and 20747
- LCM of 20731 and 20748
- LCM of 20731 and 20749
- LCM of 20731 and 20750
- LCM of 20731 and 20751