What is the Least Common Multiple of 1037 and 1054?
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 1037 and 1054 is 64294.
LCM(1037,1054) = 64294
Least Common Multiple of 1037 and 1054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1037 and 1054, than apply into the LCM equation.
GCF(1037,1054) = 17
LCM(1037,1054) = ( 1037 × 1054) / 17
LCM(1037,1054) = 1092998 / 17
LCM(1037,1054) = 64294
Least Common Multiple (LCM) of 1037 and 1054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1054. First we will calculate the prime factors of 1037 and 1054.
Prime Factorization of 1037
Prime factors of 1037 are 17, 61. Prime factorization of 1037 in exponential form is:
1037 = 171 × 611
Prime Factorization of 1054
Prime factors of 1054 are 2, 17, 31. Prime factorization of 1054 in exponential form is:
1054 = 21 × 171 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 1037 and 1054.
LCM(1037,1054) = 171 × 611 × 21 × 311
LCM(1037,1054) = 64294
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