What is the Least Common Multiple of 964 and 984?
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 964 and 984 is 237144.
LCM(964,984) = 237144
Least Common Multiple of 964 and 984 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 964 and 984, than apply into the LCM equation.
GCF(964,984) = 4
LCM(964,984) = ( 964 × 984) / 4
LCM(964,984) = 948576 / 4
LCM(964,984) = 237144
Least Common Multiple (LCM) of 964 and 984 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 984. First we will calculate the prime factors of 964 and 984.
Prime Factorization of 964
Prime factors of 964 are 2, 241. Prime factorization of 964 in exponential form is:
964 = 22 × 2411
Prime Factorization of 984
Prime factors of 984 are 2, 3, 41. Prime factorization of 984 in exponential form is:
984 = 23 × 31 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 984.
LCM(964,984) = 23 × 2411 × 31 × 411
LCM(964,984) = 237144
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