What is the Least Common Multiple of 870 and 879?
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 879 is 254910.
LCM(870,879) = 254910
Least Common Multiple of 870 and 879 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 879, than apply into the LCM equation.
GCF(870,879) = 3
LCM(870,879) = ( 870 × 879) / 3
LCM(870,879) = 764730 / 3
LCM(870,879) = 254910
Least Common Multiple (LCM) of 870 and 879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 879. First we will calculate the prime factors of 870 and 879.
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 879
Prime factors of 879 are 3, 293. Prime factorization of 879 in exponential form is:
879 = 31 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 879.
LCM(870,879) = 21 × 31 × 51 × 291 × 2931
LCM(870,879) = 254910
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 879
- LCM of 879 and 883
- LCM of 879 and 884
- LCM of 879 and 885
- LCM of 879 and 886
- LCM of 879 and 887
- LCM of 879 and 888
- LCM of 879 and 889
- LCM of 879 and 890
- LCM of 879 and 891
- LCM of 879 and 892
- LCM of 879 and 893
- LCM of 879 and 894
- LCM of 879 and 895
- LCM of 879 and 896
- LCM of 879 and 897
- LCM of 879 and 898
- LCM of 879 and 899