What is the Least Common Multiple of 947 and 964?
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 947 and 964 is 912908.
LCM(947,964) = 912908
Least Common Multiple of 947 and 964 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 947 and 964, than apply into the LCM equation.
GCF(947,964) = 1
LCM(947,964) = ( 947 × 964) / 1
LCM(947,964) = 912908 / 1
LCM(947,964) = 912908
Least Common Multiple (LCM) of 947 and 964 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 947 and 964. First we will calculate the prime factors of 947 and 964.
Prime Factorization of 947
Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:
947 = 9471
Prime Factorization of 964
Prime factors of 964 are 2, 241. Prime factorization of 964 in exponential form is:
964 = 22 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 947 and 964.
LCM(947,964) = 9471 × 22 × 2411
LCM(947,964) = 912908
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