What is the Least Common Multiple of 30082 and 30087?
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 30082 and 30087 is 905077134.
LCM(30082,30087) = 905077134
Least Common Multiple of 30082 and 30087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30082 and 30087, than apply into the LCM equation.
GCF(30082,30087) = 1
LCM(30082,30087) = ( 30082 × 30087) / 1
LCM(30082,30087) = 905077134 / 1
LCM(30082,30087) = 905077134
Least Common Multiple (LCM) of 30082 and 30087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30082 and 30087. First we will calculate the prime factors of 30082 and 30087.
Prime Factorization of 30082
Prime factors of 30082 are 2, 13, 89. Prime factorization of 30082 in exponential form is:
30082 = 21 × 132 × 891
Prime Factorization of 30087
Prime factors of 30087 are 3, 3343. Prime factorization of 30087 in exponential form is:
30087 = 32 × 33431
Now multiplying the highest exponent prime factors to calculate the LCM of 30082 and 30087.
LCM(30082,30087) = 21 × 132 × 891 × 32 × 33431
LCM(30082,30087) = 905077134
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