What is the Least Common Multiple of 77927 and 77933?
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 77927 and 77933 is 6073084891.
LCM(77927,77933) = 6073084891
Least Common Multiple of 77927 and 77933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77927 and 77933, than apply into the LCM equation.
GCF(77927,77933) = 1
LCM(77927,77933) = ( 77927 × 77933) / 1
LCM(77927,77933) = 6073084891 / 1
LCM(77927,77933) = 6073084891
Least Common Multiple (LCM) of 77927 and 77933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77927 and 77933. First we will calculate the prime factors of 77927 and 77933.
Prime Factorization of 77927
Prime factors of 77927 are 149, 523. Prime factorization of 77927 in exponential form is:
77927 = 1491 × 5231
Prime Factorization of 77933
Prime factors of 77933 are 77933. Prime factorization of 77933 in exponential form is:
77933 = 779331
Now multiplying the highest exponent prime factors to calculate the LCM of 77927 and 77933.
LCM(77927,77933) = 1491 × 5231 × 779331
LCM(77927,77933) = 6073084891
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