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What is the Least Common Multiple of 30106 and 30117?

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 30106 and 30117 is 906702402.

LCM(30106,30117) = 906702402

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Least Common Multiple of 30106 and 30117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30106 and 30117, than apply into the LCM equation.

GCF(30106,30117) = 1
LCM(30106,30117) = ( 30106 × 30117) / 1
LCM(30106,30117) = 906702402 / 1
LCM(30106,30117) = 906702402

Least Common Multiple (LCM) of 30106 and 30117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30106 and 30117. First we will calculate the prime factors of 30106 and 30117.

Prime Factorization of 30106

Prime factors of 30106 are 2, 15053. Prime factorization of 30106 in exponential form is:

30106 = 21 × 150531

Prime Factorization of 30117

Prime factors of 30117 are 3, 10039. Prime factorization of 30117 in exponential form is:

30117 = 31 × 100391

Now multiplying the highest exponent prime factors to calculate the LCM of 30106 and 30117.

LCM(30106,30117) = 21 × 150531 × 31 × 100391
LCM(30106,30117) = 906702402