What is the Least Common Multiple of 94087 and 94095?
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 94087 and 94095 is 8853116265.
LCM(94087,94095) = 8853116265
Least Common Multiple of 94087 and 94095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94087 and 94095, than apply into the LCM equation.
GCF(94087,94095) = 1
LCM(94087,94095) = ( 94087 × 94095) / 1
LCM(94087,94095) = 8853116265 / 1
LCM(94087,94095) = 8853116265
Least Common Multiple (LCM) of 94087 and 94095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94087 and 94095. First we will calculate the prime factors of 94087 and 94095.
Prime Factorization of 94087
Prime factors of 94087 are 7, 13441. Prime factorization of 94087 in exponential form is:
94087 = 71 × 134411
Prime Factorization of 94095
Prime factors of 94095 are 3, 5, 17, 41. Prime factorization of 94095 in exponential form is:
94095 = 33 × 51 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 94087 and 94095.
LCM(94087,94095) = 71 × 134411 × 33 × 51 × 171 × 411
LCM(94087,94095) = 8853116265
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