What is the Least Common Multiple of 932 and 949?
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 932 and 949 is 884468.
LCM(932,949) = 884468
Least Common Multiple of 932 and 949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 932 and 949, than apply into the LCM equation.
GCF(932,949) = 1
LCM(932,949) = ( 932 × 949) / 1
LCM(932,949) = 884468 / 1
LCM(932,949) = 884468
Least Common Multiple (LCM) of 932 and 949 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 949. First we will calculate the prime factors of 932 and 949.
Prime Factorization of 932
Prime factors of 932 are 2, 233. Prime factorization of 932 in exponential form is:
932 = 22 × 2331
Prime Factorization of 949
Prime factors of 949 are 13, 73. Prime factorization of 949 in exponential form is:
949 = 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 949.
LCM(932,949) = 22 × 2331 × 131 × 731
LCM(932,949) = 884468
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