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What is the Least Common Multiple of 30246 and 30253?

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 30246 and 30253 is 915032238.

LCM(30246,30253) = 915032238

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Least Common Multiple of 30246 and 30253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30246 and 30253, than apply into the LCM equation.

GCF(30246,30253) = 1
LCM(30246,30253) = ( 30246 × 30253) / 1
LCM(30246,30253) = 915032238 / 1
LCM(30246,30253) = 915032238

Least Common Multiple (LCM) of 30246 and 30253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30246 and 30253. First we will calculate the prime factors of 30246 and 30253.

Prime Factorization of 30246

Prime factors of 30246 are 2, 3, 71. Prime factorization of 30246 in exponential form is:

30246 = 21 × 31 × 712

Prime Factorization of 30253

Prime factors of 30253 are 30253. Prime factorization of 30253 in exponential form is:

30253 = 302531

Now multiplying the highest exponent prime factors to calculate the LCM of 30246 and 30253.

LCM(30246,30253) = 21 × 31 × 712 × 302531
LCM(30246,30253) = 915032238