What is the Least Common Multiple of 945 and 960?
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 945 and 960 is 60480.
LCM(945,960) = 60480
Least Common Multiple of 945 and 960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 945 and 960, than apply into the LCM equation.
GCF(945,960) = 15
LCM(945,960) = ( 945 × 960) / 15
LCM(945,960) = 907200 / 15
LCM(945,960) = 60480
Least Common Multiple (LCM) of 945 and 960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 945 and 960. First we will calculate the prime factors of 945 and 960.
Prime Factorization of 945
Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:
945 = 33 × 51 × 71
Prime Factorization of 960
Prime factors of 960 are 2, 3, 5. Prime factorization of 960 in exponential form is:
960 = 26 × 31 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 945 and 960.
LCM(945,960) = 33 × 51 × 71 × 26
LCM(945,960) = 60480
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