What is the Least Common Multiple of 77042 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 77042 and 77056 is 424039168.
LCM(77042,77056) = 424039168
Least Common Multiple of 77042 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 77042 and 77056, than apply into the LCM equation.
GCF(77042,77056) = 14
LCM(77042,77056) = ( 77042 × 77056) / 14
LCM(77042,77056) = 5936548352 / 14
LCM(77042,77056) = 424039168
Least Common Multiple (LCM) of 77042 and 77056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77042 and 77056. First we will calculate the prime factors of 77042 and 77056.
Prime Factorization of 77042
Prime factors of 77042 are 2, 7, 5503. Prime factorization of 77042 in exponential form is:
77042 = 21 × 71 × 55031
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 77042 and 77056.
LCM(77042,77056) = 28 × 71 × 55031 × 431
LCM(77042,77056) = 424039168
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