What is the Least Common Multiple of 54558 and 54578?
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 54558 and 54578 is 1488833262.
LCM(54558,54578) = 1488833262
Least Common Multiple of 54558 and 54578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54558 and 54578, than apply into the LCM equation.
GCF(54558,54578) = 2
LCM(54558,54578) = ( 54558 × 54578) / 2
LCM(54558,54578) = 2977666524 / 2
LCM(54558,54578) = 1488833262
Least Common Multiple (LCM) of 54558 and 54578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54558 and 54578. First we will calculate the prime factors of 54558 and 54578.
Prime Factorization of 54558
Prime factors of 54558 are 2, 3, 7, 433. Prime factorization of 54558 in exponential form is:
54558 = 21 × 32 × 71 × 4331
Prime Factorization of 54578
Prime factors of 54578 are 2, 29, 941. Prime factorization of 54578 in exponential form is:
54578 = 21 × 291 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 54558 and 54578.
LCM(54558,54578) = 21 × 32 × 71 × 4331 × 291 × 9411
LCM(54558,54578) = 1488833262
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