What is the Least Common Multiple of 832 and 852?
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 832 and 852 is 177216.
LCM(832,852) = 177216
Least Common Multiple of 832 and 852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 832 and 852, than apply into the LCM equation.
GCF(832,852) = 4
LCM(832,852) = ( 832 × 852) / 4
LCM(832,852) = 708864 / 4
LCM(832,852) = 177216
Least Common Multiple (LCM) of 832 and 852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 852. First we will calculate the prime factors of 832 and 852.
Prime Factorization of 832
Prime factors of 832 are 2, 13. Prime factorization of 832 in exponential form is:
832 = 26 × 131
Prime Factorization of 852
Prime factors of 852 are 2, 3, 71. Prime factorization of 852 in exponential form is:
852 = 22 × 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 832 and 852.
LCM(832,852) = 26 × 131 × 31 × 711
LCM(832,852) = 177216
Related Least Common Multiples of 832
- LCM of 832 and 836
- LCM of 832 and 837
- LCM of 832 and 838
- LCM of 832 and 839
- LCM of 832 and 840
- LCM of 832 and 841
- LCM of 832 and 842
- LCM of 832 and 843
- LCM of 832 and 844
- LCM of 832 and 845
- LCM of 832 and 846
- LCM of 832 and 847
- LCM of 832 and 848
- LCM of 832 and 849
- LCM of 832 and 850
- LCM of 832 and 851
- LCM of 832 and 852
Related Least Common Multiples of 852
- LCM of 852 and 856
- LCM of 852 and 857
- LCM of 852 and 858
- LCM of 852 and 859
- LCM of 852 and 860
- LCM of 852 and 861
- LCM of 852 and 862
- LCM of 852 and 863
- LCM of 852 and 864
- LCM of 852 and 865
- LCM of 852 and 866
- LCM of 852 and 867
- LCM of 852 and 868
- LCM of 852 and 869
- LCM of 852 and 870
- LCM of 852 and 871
- LCM of 852 and 872