What is the Least Common Multiple of 538 and 558?
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 538 and 558 is 150102.
LCM(538,558) = 150102
Least Common Multiple of 538 and 558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 558, than apply into the LCM equation.
GCF(538,558) = 2
LCM(538,558) = ( 538 × 558) / 2
LCM(538,558) = 300204 / 2
LCM(538,558) = 150102
Least Common Multiple (LCM) of 538 and 558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 558. First we will calculate the prime factors of 538 and 558.
Prime Factorization of 538
Prime factors of 538 are 2, 269. Prime factorization of 538 in exponential form is:
538 = 21 × 2691
Prime Factorization of 558
Prime factors of 558 are 2, 3, 31. Prime factorization of 558 in exponential form is:
558 = 21 × 32 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 558.
LCM(538,558) = 21 × 2691 × 32 × 311
LCM(538,558) = 150102
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