What is the Least Common Multiple of 954 and 959?
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 954 and 959 is 914886.
LCM(954,959) = 914886
Least Common Multiple of 954 and 959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 954 and 959, than apply into the LCM equation.
GCF(954,959) = 1
LCM(954,959) = ( 954 × 959) / 1
LCM(954,959) = 914886 / 1
LCM(954,959) = 914886
Least Common Multiple (LCM) of 954 and 959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 959. First we will calculate the prime factors of 954 and 959.
Prime Factorization of 954
Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:
954 = 21 × 32 × 531
Prime Factorization of 959
Prime factors of 959 are 7, 137. Prime factorization of 959 in exponential form is:
959 = 71 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 959.
LCM(954,959) = 21 × 32 × 531 × 71 × 1371
LCM(954,959) = 914886
Related Least Common Multiples of 954
- LCM of 954 and 958
- LCM of 954 and 959
- LCM of 954 and 960
- LCM of 954 and 961
- LCM of 954 and 962
- LCM of 954 and 963
- LCM of 954 and 964
- LCM of 954 and 965
- LCM of 954 and 966
- LCM of 954 and 967
- LCM of 954 and 968
- LCM of 954 and 969
- LCM of 954 and 970
- LCM of 954 and 971
- LCM of 954 and 972
- LCM of 954 and 973
- LCM of 954 and 974
Related Least Common Multiples of 959
- LCM of 959 and 963
- LCM of 959 and 964
- LCM of 959 and 965
- LCM of 959 and 966
- LCM of 959 and 967
- LCM of 959 and 968
- LCM of 959 and 969
- LCM of 959 and 970
- LCM of 959 and 971
- LCM of 959 and 972
- LCM of 959 and 973
- LCM of 959 and 974
- LCM of 959 and 975
- LCM of 959 and 976
- LCM of 959 and 977
- LCM of 959 and 978
- LCM of 959 and 979