What is the Least Common Multiple of 54742 and 54756?
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 54742 and 54756 is 1498726476.
LCM(54742,54756) = 1498726476
Least Common Multiple of 54742 and 54756 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54742 and 54756, than apply into the LCM equation.
GCF(54742,54756) = 2
LCM(54742,54756) = ( 54742 × 54756) / 2
LCM(54742,54756) = 2997452952 / 2
LCM(54742,54756) = 1498726476
Least Common Multiple (LCM) of 54742 and 54756 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54742 and 54756. First we will calculate the prime factors of 54742 and 54756.
Prime Factorization of 54742
Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:
54742 = 21 × 1011 × 2711
Prime Factorization of 54756
Prime factors of 54756 are 2, 3, 13. Prime factorization of 54756 in exponential form is:
54756 = 22 × 34 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 54742 and 54756.
LCM(54742,54756) = 22 × 1011 × 2711 × 34 × 132
LCM(54742,54756) = 1498726476
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