What is the Least Common Multiple of 945 and 963?
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 963 is 101115.
LCM(945,963) = 101115
Least Common Multiple of 945 and 963 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 963, than apply into the LCM equation.
GCF(945,963) = 9
LCM(945,963) = ( 945 × 963) / 9
LCM(945,963) = 910035 / 9
LCM(945,963) = 101115
Least Common Multiple (LCM) of 945 and 963 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 945 and 963. First we will calculate the prime factors of 945 and 963.
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 963
Prime factors of 963 are 3, 107. Prime factorization of 963 in exponential form is:
963 = 32 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 945 and 963.
LCM(945,963) = 33 × 51 × 71 × 1071
LCM(945,963) = 101115
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