What is the Least Common Multiple of 95025 and 95042?
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 95025 and 95042 is 9031366050.
LCM(95025,95042) = 9031366050
Least Common Multiple of 95025 and 95042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95025 and 95042, than apply into the LCM equation.
GCF(95025,95042) = 1
LCM(95025,95042) = ( 95025 × 95042) / 1
LCM(95025,95042) = 9031366050 / 1
LCM(95025,95042) = 9031366050
Least Common Multiple (LCM) of 95025 and 95042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95025 and 95042. First we will calculate the prime factors of 95025 and 95042.
Prime Factorization of 95025
Prime factors of 95025 are 3, 5, 7, 181. Prime factorization of 95025 in exponential form is:
95025 = 31 × 52 × 71 × 1811
Prime Factorization of 95042
Prime factors of 95042 are 2, 47521. Prime factorization of 95042 in exponential form is:
95042 = 21 × 475211
Now multiplying the highest exponent prime factors to calculate the LCM of 95025 and 95042.
LCM(95025,95042) = 31 × 52 × 71 × 1811 × 21 × 475211
LCM(95025,95042) = 9031366050
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