What is the Least Common Multiple of 55077 and 55083?
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 55077 and 55083 is 1011268797.
LCM(55077,55083) = 1011268797
Least Common Multiple of 55077 and 55083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55077 and 55083, than apply into the LCM equation.
GCF(55077,55083) = 3
LCM(55077,55083) = ( 55077 × 55083) / 3
LCM(55077,55083) = 3033806391 / 3
LCM(55077,55083) = 1011268797
Least Common Multiple (LCM) of 55077 and 55083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55077 and 55083. First we will calculate the prime factors of 55077 and 55083.
Prime Factorization of 55077
Prime factors of 55077 are 3, 11, 1669. Prime factorization of 55077 in exponential form is:
55077 = 31 × 111 × 16691
Prime Factorization of 55083
Prime factors of 55083 are 3, 7, 43, 61. Prime factorization of 55083 in exponential form is:
55083 = 31 × 71 × 431 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 55077 and 55083.
LCM(55077,55083) = 31 × 111 × 16691 × 71 × 431 × 611
LCM(55077,55083) = 1011268797
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