What is the Least Common Multiple of 95015 and 95024?
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 95015 and 95024 is 9028705360.
LCM(95015,95024) = 9028705360
Least Common Multiple of 95015 and 95024 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95015 and 95024, than apply into the LCM equation.
GCF(95015,95024) = 1
LCM(95015,95024) = ( 95015 × 95024) / 1
LCM(95015,95024) = 9028705360 / 1
LCM(95015,95024) = 9028705360
Least Common Multiple (LCM) of 95015 and 95024 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95015 and 95024. First we will calculate the prime factors of 95015 and 95024.
Prime Factorization of 95015
Prime factors of 95015 are 5, 31, 613. Prime factorization of 95015 in exponential form is:
95015 = 51 × 311 × 6131
Prime Factorization of 95024
Prime factors of 95024 are 2, 5939. Prime factorization of 95024 in exponential form is:
95024 = 24 × 59391
Now multiplying the highest exponent prime factors to calculate the LCM of 95015 and 95024.
LCM(95015,95024) = 51 × 311 × 6131 × 24 × 59391
LCM(95015,95024) = 9028705360
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