What is the Least Common Multiple of 54736 and 54747?
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 54736 and 54747 is 272421072.
LCM(54736,54747) = 272421072
Least Common Multiple of 54736 and 54747 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54736 and 54747, than apply into the LCM equation.
GCF(54736,54747) = 11
LCM(54736,54747) = ( 54736 × 54747) / 11
LCM(54736,54747) = 2996631792 / 11
LCM(54736,54747) = 272421072
Least Common Multiple (LCM) of 54736 and 54747 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54736 and 54747. First we will calculate the prime factors of 54736 and 54747.
Prime Factorization of 54736
Prime factors of 54736 are 2, 11, 311. Prime factorization of 54736 in exponential form is:
54736 = 24 × 111 × 3111
Prime Factorization of 54747
Prime factors of 54747 are 3, 7, 11, 79. Prime factorization of 54747 in exponential form is:
54747 = 32 × 71 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 54736 and 54747.
LCM(54736,54747) = 24 × 111 × 3111 × 32 × 71 × 791
LCM(54736,54747) = 272421072
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