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What is the Least Common Multiple of 30213 and 30232?

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 30213 and 30232 is 913399416.

LCM(30213,30232) = 913399416

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Least Common Multiple of 30213 and 30232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30213 and 30232, than apply into the LCM equation.

GCF(30213,30232) = 1
LCM(30213,30232) = ( 30213 × 30232) / 1
LCM(30213,30232) = 913399416 / 1
LCM(30213,30232) = 913399416

Least Common Multiple (LCM) of 30213 and 30232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30213 and 30232. First we will calculate the prime factors of 30213 and 30232.

Prime Factorization of 30213

Prime factors of 30213 are 3, 373. Prime factorization of 30213 in exponential form is:

30213 = 34 × 3731

Prime Factorization of 30232

Prime factors of 30232 are 2, 3779. Prime factorization of 30232 in exponential form is:

30232 = 23 × 37791

Now multiplying the highest exponent prime factors to calculate the LCM of 30213 and 30232.

LCM(30213,30232) = 34 × 3731 × 23 × 37791
LCM(30213,30232) = 913399416