What is the Least Common Multiple of 95747 and 95765?
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 95747 and 95765 is 9169211455.
LCM(95747,95765) = 9169211455
Least Common Multiple of 95747 and 95765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95747 and 95765, than apply into the LCM equation.
GCF(95747,95765) = 1
LCM(95747,95765) = ( 95747 × 95765) / 1
LCM(95747,95765) = 9169211455 / 1
LCM(95747,95765) = 9169211455
Least Common Multiple (LCM) of 95747 and 95765 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95747 and 95765. First we will calculate the prime factors of 95747 and 95765.
Prime Factorization of 95747
Prime factors of 95747 are 95747. Prime factorization of 95747 in exponential form is:
95747 = 957471
Prime Factorization of 95765
Prime factors of 95765 are 5, 107, 179. Prime factorization of 95765 in exponential form is:
95765 = 51 × 1071 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 95747 and 95765.
LCM(95747,95765) = 957471 × 51 × 1071 × 1791
LCM(95747,95765) = 9169211455
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