What is the Least Common Multiple of 7757 and 7763?
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 7757 and 7763 is 60217591.
LCM(7757,7763) = 60217591
Least Common Multiple of 7757 and 7763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7757 and 7763, than apply into the LCM equation.
GCF(7757,7763) = 1
LCM(7757,7763) = ( 7757 × 7763) / 1
LCM(7757,7763) = 60217591 / 1
LCM(7757,7763) = 60217591
Least Common Multiple (LCM) of 7757 and 7763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7757 and 7763. First we will calculate the prime factors of 7757 and 7763.
Prime Factorization of 7757
Prime factors of 7757 are 7757. Prime factorization of 7757 in exponential form is:
7757 = 77571
Prime Factorization of 7763
Prime factors of 7763 are 7, 1109. Prime factorization of 7763 in exponential form is:
7763 = 71 × 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 7757 and 7763.
LCM(7757,7763) = 77571 × 71 × 11091
LCM(7757,7763) = 60217591
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