What is the Least Common Multiple of 85087 and 85107?
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 85087 and 85107 is 7241499309.
LCM(85087,85107) = 7241499309
Least Common Multiple of 85087 and 85107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85087 and 85107, than apply into the LCM equation.
GCF(85087,85107) = 1
LCM(85087,85107) = ( 85087 × 85107) / 1
LCM(85087,85107) = 7241499309 / 1
LCM(85087,85107) = 7241499309
Least Common Multiple (LCM) of 85087 and 85107 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85087 and 85107. First we will calculate the prime factors of 85087 and 85107.
Prime Factorization of 85087
Prime factors of 85087 are 85087. Prime factorization of 85087 in exponential form is:
85087 = 850871
Prime Factorization of 85107
Prime factors of 85107 are 3, 11, 2579. Prime factorization of 85107 in exponential form is:
85107 = 31 × 111 × 25791
Now multiplying the highest exponent prime factors to calculate the LCM of 85087 and 85107.
LCM(85087,85107) = 850871 × 31 × 111 × 25791
LCM(85087,85107) = 7241499309
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