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What is the Least Common Multiple of 30342 and 30350?

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 30342 and 30350 is 460439850.

LCM(30342,30350) = 460439850

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Least Common Multiple of 30342 and 30350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30342 and 30350, than apply into the LCM equation.

GCF(30342,30350) = 2
LCM(30342,30350) = ( 30342 × 30350) / 2
LCM(30342,30350) = 920879700 / 2
LCM(30342,30350) = 460439850

Least Common Multiple (LCM) of 30342 and 30350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30342 and 30350. First we will calculate the prime factors of 30342 and 30350.

Prime Factorization of 30342

Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:

30342 = 21 × 31 × 131 × 3891

Prime Factorization of 30350

Prime factors of 30350 are 2, 5, 607. Prime factorization of 30350 in exponential form is:

30350 = 21 × 52 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 30342 and 30350.

LCM(30342,30350) = 21 × 31 × 131 × 3891 × 52 × 6071
LCM(30342,30350) = 460439850