What is the Least Common Multiple of 882 and 890?
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 882 and 890 is 392490.
LCM(882,890) = 392490
Least Common Multiple of 882 and 890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 882 and 890, than apply into the LCM equation.
GCF(882,890) = 2
LCM(882,890) = ( 882 × 890) / 2
LCM(882,890) = 784980 / 2
LCM(882,890) = 392490
Least Common Multiple (LCM) of 882 and 890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 890. First we will calculate the prime factors of 882 and 890.
Prime Factorization of 882
Prime factors of 882 are 2, 3, 7. Prime factorization of 882 in exponential form is:
882 = 21 × 32 × 72
Prime Factorization of 890
Prime factors of 890 are 2, 5, 89. Prime factorization of 890 in exponential form is:
890 = 21 × 51 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 882 and 890.
LCM(882,890) = 21 × 32 × 72 × 51 × 891
LCM(882,890) = 392490
Related Least Common Multiples of 882
- LCM of 882 and 886
- LCM of 882 and 887
- LCM of 882 and 888
- LCM of 882 and 889
- LCM of 882 and 890
- LCM of 882 and 891
- LCM of 882 and 892
- LCM of 882 and 893
- LCM of 882 and 894
- LCM of 882 and 895
- LCM of 882 and 896
- LCM of 882 and 897
- LCM of 882 and 898
- LCM of 882 and 899
- LCM of 882 and 900
- LCM of 882 and 901
- LCM of 882 and 902
Related Least Common Multiples of 890
- LCM of 890 and 894
- LCM of 890 and 895
- LCM of 890 and 896
- LCM of 890 and 897
- LCM of 890 and 898
- LCM of 890 and 899
- LCM of 890 and 900
- LCM of 890 and 901
- LCM of 890 and 902
- LCM of 890 and 903
- LCM of 890 and 904
- LCM of 890 and 905
- LCM of 890 and 906
- LCM of 890 and 907
- LCM of 890 and 908
- LCM of 890 and 909
- LCM of 890 and 910