What is the Least Common Multiple of 524 and 544?
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 524 and 544 is 71264.
LCM(524,544) = 71264
Least Common Multiple of 524 and 544 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 524 and 544, than apply into the LCM equation.
GCF(524,544) = 4
LCM(524,544) = ( 524 × 544) / 4
LCM(524,544) = 285056 / 4
LCM(524,544) = 71264
Least Common Multiple (LCM) of 524 and 544 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 544. First we will calculate the prime factors of 524 and 544.
Prime Factorization of 524
Prime factors of 524 are 2, 131. Prime factorization of 524 in exponential form is:
524 = 22 × 1311
Prime Factorization of 544
Prime factors of 544 are 2, 17. Prime factorization of 544 in exponential form is:
544 = 25 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 524 and 544.
LCM(524,544) = 25 × 1311 × 171
LCM(524,544) = 71264
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