What is the Least Common Multiple of 77038 and 77056?
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 77038 and 77056 is 2968120064.
LCM(77038,77056) = 2968120064
Least Common Multiple of 77038 and 77056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77038 and 77056, than apply into the LCM equation.
GCF(77038,77056) = 2
LCM(77038,77056) = ( 77038 × 77056) / 2
LCM(77038,77056) = 5936240128 / 2
LCM(77038,77056) = 2968120064
Least Common Multiple (LCM) of 77038 and 77056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77038 and 77056. First we will calculate the prime factors of 77038 and 77056.
Prime Factorization of 77038
Prime factors of 77038 are 2, 13, 2963. Prime factorization of 77038 in exponential form is:
77038 = 21 × 131 × 29631
Prime Factorization of 77056
Prime factors of 77056 are 2, 7, 43. Prime factorization of 77056 in exponential form is:
77056 = 28 × 71 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 77038 and 77056.
LCM(77038,77056) = 28 × 131 × 29631 × 71 × 431
LCM(77038,77056) = 2968120064
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