What is the Least Common Multiple of 9755 and 9763?
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 9755 and 9763 is 95238065.
LCM(9755,9763) = 95238065
Least Common Multiple of 9755 and 9763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9755 and 9763, than apply into the LCM equation.
GCF(9755,9763) = 1
LCM(9755,9763) = ( 9755 × 9763) / 1
LCM(9755,9763) = 95238065 / 1
LCM(9755,9763) = 95238065
Least Common Multiple (LCM) of 9755 and 9763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9755 and 9763. First we will calculate the prime factors of 9755 and 9763.
Prime Factorization of 9755
Prime factors of 9755 are 5, 1951. Prime factorization of 9755 in exponential form is:
9755 = 51 × 19511
Prime Factorization of 9763
Prime factors of 9763 are 13, 751. Prime factorization of 9763 in exponential form is:
9763 = 131 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 9755 and 9763.
LCM(9755,9763) = 51 × 19511 × 131 × 7511
LCM(9755,9763) = 95238065
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