What is the Least Common Multiple of 95024 and 95043?
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 95024 and 95043 is 9031366032.
LCM(95024,95043) = 9031366032
Least Common Multiple of 95024 and 95043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95024 and 95043, than apply into the LCM equation.
GCF(95024,95043) = 1
LCM(95024,95043) = ( 95024 × 95043) / 1
LCM(95024,95043) = 9031366032 / 1
LCM(95024,95043) = 9031366032
Least Common Multiple (LCM) of 95024 and 95043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95024 and 95043. First we will calculate the prime factors of 95024 and 95043.
Prime Factorization of 95024
Prime factors of 95024 are 2, 5939. Prime factorization of 95024 in exponential form is:
95024 = 24 × 59391
Prime Factorization of 95043
Prime factors of 95043 are 3, 13, 2437. Prime factorization of 95043 in exponential form is:
95043 = 31 × 131 × 24371
Now multiplying the highest exponent prime factors to calculate the LCM of 95024 and 95043.
LCM(95024,95043) = 24 × 59391 × 31 × 131 × 24371
LCM(95024,95043) = 9031366032
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