What is the Least Common Multiple of 55768 and 55776?
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 55768 and 55776 is 388814496.
LCM(55768,55776) = 388814496
Least Common Multiple of 55768 and 55776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55768 and 55776, than apply into the LCM equation.
GCF(55768,55776) = 8
LCM(55768,55776) = ( 55768 × 55776) / 8
LCM(55768,55776) = 3110515968 / 8
LCM(55768,55776) = 388814496
Least Common Multiple (LCM) of 55768 and 55776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55768 and 55776. First we will calculate the prime factors of 55768 and 55776.
Prime Factorization of 55768
Prime factors of 55768 are 2, 6971. Prime factorization of 55768 in exponential form is:
55768 = 23 × 69711
Prime Factorization of 55776
Prime factors of 55776 are 2, 3, 7, 83. Prime factorization of 55776 in exponential form is:
55776 = 25 × 31 × 71 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 55768 and 55776.
LCM(55768,55776) = 25 × 69711 × 31 × 71 × 831
LCM(55768,55776) = 388814496
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