What is the Least Common Multiple of 77716 and 77731?
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 77716 and 77731 is 6040942396.
LCM(77716,77731) = 6040942396
Least Common Multiple of 77716 and 77731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77716 and 77731, than apply into the LCM equation.
GCF(77716,77731) = 1
LCM(77716,77731) = ( 77716 × 77731) / 1
LCM(77716,77731) = 6040942396 / 1
LCM(77716,77731) = 6040942396
Least Common Multiple (LCM) of 77716 and 77731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77716 and 77731. First we will calculate the prime factors of 77716 and 77731.
Prime Factorization of 77716
Prime factors of 77716 are 2, 19429. Prime factorization of 77716 in exponential form is:
77716 = 22 × 194291
Prime Factorization of 77731
Prime factors of 77731 are 77731. Prime factorization of 77731 in exponential form is:
77731 = 777311
Now multiplying the highest exponent prime factors to calculate the LCM of 77716 and 77731.
LCM(77716,77731) = 22 × 194291 × 777311
LCM(77716,77731) = 6040942396
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