What is the Least Common Multiple of 948 and 954?
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 948 and 954 is 150732.
LCM(948,954) = 150732
Least Common Multiple of 948 and 954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 948 and 954, than apply into the LCM equation.
GCF(948,954) = 6
LCM(948,954) = ( 948 × 954) / 6
LCM(948,954) = 904392 / 6
LCM(948,954) = 150732
Least Common Multiple (LCM) of 948 and 954 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 954. First we will calculate the prime factors of 948 and 954.
Prime Factorization of 948
Prime factors of 948 are 2, 3, 79. Prime factorization of 948 in exponential form is:
948 = 22 × 31 × 791
Prime Factorization of 954
Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:
954 = 21 × 32 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 948 and 954.
LCM(948,954) = 22 × 32 × 791 × 531
LCM(948,954) = 150732
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