What is the Least Common Multiple of 1054 and 1058?
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 1054 and 1058 is 557566.
LCM(1054,1058) = 557566
Least Common Multiple of 1054 and 1058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1054 and 1058, than apply into the LCM equation.
GCF(1054,1058) = 2
LCM(1054,1058) = ( 1054 × 1058) / 2
LCM(1054,1058) = 1115132 / 2
LCM(1054,1058) = 557566
Least Common Multiple (LCM) of 1054 and 1058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1058. First we will calculate the prime factors of 1054 and 1058.
Prime Factorization of 1054
Prime factors of 1054 are 2, 17, 31. Prime factorization of 1054 in exponential form is:
1054 = 21 × 171 × 311
Prime Factorization of 1058
Prime factors of 1058 are 2, 23. Prime factorization of 1058 in exponential form is:
1058 = 21 × 232
Now multiplying the highest exponent prime factors to calculate the LCM of 1054 and 1058.
LCM(1054,1058) = 21 × 171 × 311 × 232
LCM(1054,1058) = 557566
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