What is the Least Common Multiple of 957 and 970?
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 957 and 970 is 928290.
LCM(957,970) = 928290
Least Common Multiple of 957 and 970 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 957 and 970, than apply into the LCM equation.
GCF(957,970) = 1
LCM(957,970) = ( 957 × 970) / 1
LCM(957,970) = 928290 / 1
LCM(957,970) = 928290
Least Common Multiple (LCM) of 957 and 970 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 970. First we will calculate the prime factors of 957 and 970.
Prime Factorization of 957
Prime factors of 957 are 3, 11, 29. Prime factorization of 957 in exponential form is:
957 = 31 × 111 × 291
Prime Factorization of 970
Prime factors of 970 are 2, 5, 97. Prime factorization of 970 in exponential form is:
970 = 21 × 51 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 970.
LCM(957,970) = 31 × 111 × 291 × 21 × 51 × 971
LCM(957,970) = 928290
Related Least Common Multiples of 957
- LCM of 957 and 961
- LCM of 957 and 962
- LCM of 957 and 963
- LCM of 957 and 964
- LCM of 957 and 965
- LCM of 957 and 966
- LCM of 957 and 967
- LCM of 957 and 968
- LCM of 957 and 969
- LCM of 957 and 970
- LCM of 957 and 971
- LCM of 957 and 972
- LCM of 957 and 973
- LCM of 957 and 974
- LCM of 957 and 975
- LCM of 957 and 976
- LCM of 957 and 977
Related Least Common Multiples of 970
- LCM of 970 and 974
- LCM of 970 and 975
- LCM of 970 and 976
- LCM of 970 and 977
- LCM of 970 and 978
- LCM of 970 and 979
- LCM of 970 and 980
- LCM of 970 and 981
- LCM of 970 and 982
- LCM of 970 and 983
- LCM of 970 and 984
- LCM of 970 and 985
- LCM of 970 and 986
- LCM of 970 and 987
- LCM of 970 and 988
- LCM of 970 and 989
- LCM of 970 and 990