What is the Least Common Multiple of 77555 and 77559?
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 77555 and 77559 is 6015088245.
LCM(77555,77559) = 6015088245
Least Common Multiple of 77555 and 77559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77555 and 77559, than apply into the LCM equation.
GCF(77555,77559) = 1
LCM(77555,77559) = ( 77555 × 77559) / 1
LCM(77555,77559) = 6015088245 / 1
LCM(77555,77559) = 6015088245
Least Common Multiple (LCM) of 77555 and 77559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77555 and 77559. First we will calculate the prime factors of 77555 and 77559.
Prime Factorization of 77555
Prime factors of 77555 are 5, 15511. Prime factorization of 77555 in exponential form is:
77555 = 51 × 155111
Prime Factorization of 77559
Prime factors of 77559 are 3, 103, 251. Prime factorization of 77559 in exponential form is:
77559 = 31 × 1031 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 77555 and 77559.
LCM(77555,77559) = 51 × 155111 × 31 × 1031 × 2511
LCM(77555,77559) = 6015088245
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