What is the Least Common Multiple of 948 and 961?
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 961 is 911028.
LCM(948,961) = 911028
Least Common Multiple of 948 and 961 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 961, than apply into the LCM equation.
GCF(948,961) = 1
LCM(948,961) = ( 948 × 961) / 1
LCM(948,961) = 911028 / 1
LCM(948,961) = 911028
Least Common Multiple (LCM) of 948 and 961 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 961. First we will calculate the prime factors of 948 and 961.
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 961
Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:
961 = 312
Now multiplying the highest exponent prime factors to calculate the LCM of 948 and 961.
LCM(948,961) = 22 × 31 × 791 × 312
LCM(948,961) = 911028
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