What is the Least Common Multiple of 940 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 940 and 949 is 892060.
LCM(940,949) = 892060
Least Common Multiple of 940 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 940 and 949, than apply into the LCM equation.
GCF(940,949) = 1
LCM(940,949) = ( 940 × 949) / 1
LCM(940,949) = 892060 / 1
LCM(940,949) = 892060
Least Common Multiple (LCM) of 940 and 949 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 949. First we will calculate the prime factors of 940 and 949.
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 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 940 and 949.
LCM(940,949) = 22 × 51 × 471 × 131 × 731
LCM(940,949) = 892060
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Related Least Common Multiples of 949
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