What is the Least Common Multiple of 940 and 945?
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 940 and 945 is 177660.
LCM(940,945) = 177660
Least Common Multiple of 940 and 945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 940 and 945, than apply into the LCM equation.
GCF(940,945) = 5
LCM(940,945) = ( 940 × 945) / 5
LCM(940,945) = 888300 / 5
LCM(940,945) = 177660
Least Common Multiple (LCM) of 940 and 945 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 945. First we will calculate the prime factors of 940 and 945.
Prime Factorization of 940
Prime factors of 940 are 2, 5, 47. Prime factorization of 940 in exponential form is:
940 = 22 × 51 × 471
Prime Factorization of 945
Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:
945 = 33 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 945.
LCM(940,945) = 22 × 51 × 471 × 33 × 71
LCM(940,945) = 177660
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