What is the Least Common Multiple of 48095 and 48099?
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 48095 and 48099 is 2313321405.
LCM(48095,48099) = 2313321405
Least Common Multiple of 48095 and 48099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48095 and 48099, than apply into the LCM equation.
GCF(48095,48099) = 1
LCM(48095,48099) = ( 48095 × 48099) / 1
LCM(48095,48099) = 2313321405 / 1
LCM(48095,48099) = 2313321405
Least Common Multiple (LCM) of 48095 and 48099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48095 and 48099. First we will calculate the prime factors of 48095 and 48099.
Prime Factorization of 48095
Prime factors of 48095 are 5, 9619. Prime factorization of 48095 in exponential form is:
48095 = 51 × 96191
Prime Factorization of 48099
Prime factors of 48099 are 3, 16033. Prime factorization of 48099 in exponential form is:
48099 = 31 × 160331
Now multiplying the highest exponent prime factors to calculate the LCM of 48095 and 48099.
LCM(48095,48099) = 51 × 96191 × 31 × 160331
LCM(48095,48099) = 2313321405
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