What is the Least Common Multiple of 77056 and 77061?
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 77056 and 77061 is 5938012416.
LCM(77056,77061) = 5938012416
Least Common Multiple of 77056 and 77061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77056 and 77061, than apply into the LCM equation.
GCF(77056,77061) = 1
LCM(77056,77061) = ( 77056 × 77061) / 1
LCM(77056,77061) = 5938012416 / 1
LCM(77056,77061) = 5938012416
Least Common Multiple (LCM) of 77056 and 77061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77056 and 77061. First we will calculate the prime factors of 77056 and 77061.
Prime Factorization of 77056
Prime factors of 77056 are 2, 7, 43. Prime factorization of 77056 in exponential form is:
77056 = 28 × 71 × 431
Prime Factorization of 77061
Prime factors of 77061 are 3, 17, 1511. Prime factorization of 77061 in exponential form is:
77061 = 31 × 171 × 15111
Now multiplying the highest exponent prime factors to calculate the LCM of 77056 and 77061.
LCM(77056,77061) = 28 × 71 × 431 × 31 × 171 × 15111
LCM(77056,77061) = 5938012416
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