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What is the Least Common Multiple of 30070 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 30070 and 30087 is 904716090.

LCM(30070,30087) = 904716090

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Least Common Multiple of 30070 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 30070 and 30087, than apply into the LCM equation.

GCF(30070,30087) = 1
LCM(30070,30087) = ( 30070 × 30087) / 1
LCM(30070,30087) = 904716090 / 1
LCM(30070,30087) = 904716090

Least Common Multiple (LCM) of 30070 and 30087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30070 and 30087. First we will calculate the prime factors of 30070 and 30087.

Prime Factorization of 30070

Prime factors of 30070 are 2, 5, 31, 97. Prime factorization of 30070 in exponential form is:

30070 = 21 × 51 × 311 × 971

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 30070 and 30087.

LCM(30070,30087) = 21 × 51 × 311 × 971 × 32 × 33431
LCM(30070,30087) = 904716090