What is the Least Common Multiple of 870 and 884?
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 870 and 884 is 384540.
LCM(870,884) = 384540
Least Common Multiple of 870 and 884 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 870 and 884, than apply into the LCM equation.
GCF(870,884) = 2
LCM(870,884) = ( 870 × 884) / 2
LCM(870,884) = 769080 / 2
LCM(870,884) = 384540
Least Common Multiple (LCM) of 870 and 884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 884. First we will calculate the prime factors of 870 and 884.
Prime Factorization of 870
Prime factors of 870 are 2, 3, 5, 29. Prime factorization of 870 in exponential form is:
870 = 21 × 31 × 51 × 291
Prime Factorization of 884
Prime factors of 884 are 2, 13, 17. Prime factorization of 884 in exponential form is:
884 = 22 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 884.
LCM(870,884) = 22 × 31 × 51 × 291 × 131 × 171
LCM(870,884) = 384540
Related Least Common Multiples of 870
- LCM of 870 and 874
- LCM of 870 and 875
- LCM of 870 and 876
- LCM of 870 and 877
- LCM of 870 and 878
- LCM of 870 and 879
- LCM of 870 and 880
- LCM of 870 and 881
- LCM of 870 and 882
- LCM of 870 and 883
- LCM of 870 and 884
- LCM of 870 and 885
- LCM of 870 and 886
- LCM of 870 and 887
- LCM of 870 and 888
- LCM of 870 and 889
- LCM of 870 and 890
Related Least Common Multiples of 884
- LCM of 884 and 888
- LCM of 884 and 889
- LCM of 884 and 890
- LCM of 884 and 891
- LCM of 884 and 892
- LCM of 884 and 893
- LCM of 884 and 894
- LCM of 884 and 895
- LCM of 884 and 896
- LCM of 884 and 897
- LCM of 884 and 898
- LCM of 884 and 899
- LCM of 884 and 900
- LCM of 884 and 901
- LCM of 884 and 902
- LCM of 884 and 903
- LCM of 884 and 904