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What is the Least Common Multiple of 30572 and 30586?

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 30572 and 30586 is 467537596.

LCM(30572,30586) = 467537596

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Least Common Multiple of 30572 and 30586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30572 and 30586, than apply into the LCM equation.

GCF(30572,30586) = 2
LCM(30572,30586) = ( 30572 × 30586) / 2
LCM(30572,30586) = 935075192 / 2
LCM(30572,30586) = 467537596

Least Common Multiple (LCM) of 30572 and 30586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30572 and 30586. First we will calculate the prime factors of 30572 and 30586.

Prime Factorization of 30572

Prime factors of 30572 are 2, 7643. Prime factorization of 30572 in exponential form is:

30572 = 22 × 76431

Prime Factorization of 30586

Prime factors of 30586 are 2, 41, 373. Prime factorization of 30586 in exponential form is:

30586 = 21 × 411 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 30572 and 30586.

LCM(30572,30586) = 22 × 76431 × 411 × 3731
LCM(30572,30586) = 467537596